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Finding the Third Proportional to 142,930 and 210,115.50

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Solution

The third proportional to 142,930 and 210,115.50 is: 308,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,930 : 210,115.50 = 210,115.50 : x
  2. Step 2: Convert to fraction form
    142,930/210,115.50 = 210,115.50/x
  3. Step 3: Cross multiply
    142,930x = 210,115.50 × 210,115.50
  4. Step 4: Simplify right side
    142,930x = 44,148,523,340.25
  5. Step 5: Solve for x
    x = 44,148,523,340.25/142,930
  6. Step 6: Final answer
    x = 308,882.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.