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Finding the Third Proportional to 147,796.31 and 325,117.13

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Solution

The third proportional to 147,796.31 and 325,117.13 is: 715,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,796.31 : 325,117.13 = 325,117.13 : x
  2. Step 2: Convert to fraction form
    147,796.31/325,117.13 = 325,117.13/x
  3. Step 3: Cross multiply
    147,796.31x = 325,117.13 × 325,117.13
  4. Step 4: Simplify right side
    147,796.31x = 105,701,144,968.27
  5. Step 5: Solve for x
    x = 105,701,144,968.27/147,796.31
  6. Step 6: Final answer
    x = 715,181.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.