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Finding the Third Proportional to 147,040 and 207,068

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Solution

The third proportional to 147,040 and 207,068 is: 291,601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,040 : 207,068 = 207,068 : x
  2. Step 2: Convert to fraction form
    147,040/207,068 = 207,068/x
  3. Step 3: Cross multiply
    147,040x = 207,068 × 207,068
  4. Step 4: Simplify right side
    147,040x = 42,877,156,624
  5. Step 5: Solve for x
    x = 42,877,156,624/147,040
  6. Step 6: Final answer
    x = 291,601.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.