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Finding the Third Proportional to 142,142.34 and 306,428.06

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Solution

The third proportional to 142,142.34 and 306,428.06 is: 660,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,142.34 : 306,428.06 = 306,428.06 : x
  2. Step 2: Convert to fraction form
    142,142.34/306,428.06 = 306,428.06/x
  3. Step 3: Cross multiply
    142,142.34x = 306,428.06 × 306,428.06
  4. Step 4: Simplify right side
    142,142.34x = 93,898,157,487.50
  5. Step 5: Solve for x
    x = 93,898,157,487.50/142,142.34
  6. Step 6: Final answer
    x = 660,592.44

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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.