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Finding the Third Proportional to 142,388 and 207,959

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Solution

The third proportional to 142,388 and 207,959 is: 303,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,388 : 207,959 = 207,959 : x
  2. Step 2: Convert to fraction form
    142,388/207,959 = 207,959/x
  3. Step 3: Cross multiply
    142,388x = 207,959 × 207,959
  4. Step 4: Simplify right side
    142,388x = 43,246,945,681
  5. Step 5: Solve for x
    x = 43,246,945,681/142,388
  6. Step 6: Final answer
    x = 303,726.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.