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Finding the Third Proportional to 243,325.13 and 325,483.31

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Solution

The third proportional to 243,325.13 and 325,483.31 is: 435,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,325.13 : 325,483.31 = 325,483.31 : x
  2. Step 2: Convert to fraction form
    243,325.13/325,483.31 = 325,483.31/x
  3. Step 3: Cross multiply
    243,325.13x = 325,483.31 × 325,483.31
  4. Step 4: Simplify right side
    243,325.13x = 105,939,386,715.97
  5. Step 5: Solve for x
    x = 105,939,386,715.97/243,325.13
  6. Step 6: Final answer
    x = 435,382.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.