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Finding the Third Proportional to 142,566 and 306,193.50

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Solution

The third proportional to 142,566 and 306,193.50 is: 657,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,566 : 306,193.50 = 306,193.50 : x
  2. Step 2: Convert to fraction form
    142,566/306,193.50 = 306,193.50/x
  3. Step 3: Cross multiply
    142,566x = 306,193.50 × 306,193.50
  4. Step 4: Simplify right side
    142,566x = 93,754,459,442.25
  5. Step 5: Solve for x
    x = 93,754,459,442.25/142,566
  6. Step 6: Final answer
    x = 657,621.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.