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Finding the Third Proportional to 147,710.25 and 322,147.13

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Solution

The third proportional to 147,710.25 and 322,147.13 is: 702,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,710.25 : 322,147.13 = 322,147.13 : x
  2. Step 2: Convert to fraction form
    147,710.25/322,147.13 = 322,147.13/x
  3. Step 3: Cross multiply
    147,710.25x = 322,147.13 × 322,147.13
  4. Step 4: Simplify right side
    147,710.25x = 103,778,770,145.77
  5. Step 5: Solve for x
    x = 103,778,770,145.77/147,710.25
  6. Step 6: Final answer
    x = 702,583.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.