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Finding the Third Proportional to 142,962.19 and 297,775.13

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Solution

The third proportional to 142,962.19 and 297,775.13 is: 620,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,962.19 : 297,775.13 = 297,775.13 : x
  2. Step 2: Convert to fraction form
    142,962.19/297,775.13 = 297,775.13/x
  3. Step 3: Cross multiply
    142,962.19x = 297,775.13 × 297,775.13
  4. Step 4: Simplify right side
    142,962.19x = 88,670,025,068.77
  5. Step 5: Solve for x
    x = 88,670,025,068.77/142,962.19
  6. Step 6: Final answer
    x = 620,234.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.