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Finding the Third Proportional to 186,324.75 and 402,412.50

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Solution

The third proportional to 186,324.75 and 402,412.50 is: 869,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,324.75 : 402,412.50 = 402,412.50 : x
  2. Step 2: Convert to fraction form
    186,324.75/402,412.50 = 402,412.50/x
  3. Step 3: Cross multiply
    186,324.75x = 402,412.50 × 402,412.50
  4. Step 4: Simplify right side
    186,324.75x = 161,935,820,156.25
  5. Step 5: Solve for x
    x = 161,935,820,156.25/186,324.75
  6. Step 6: Final answer
    x = 869,105.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.