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Finding the Third Proportional to 148,246.88 and 319,008.38

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Solution

The third proportional to 148,246.88 and 319,008.38 is: 686,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,246.88 : 319,008.38 = 319,008.38 : x
  2. Step 2: Convert to fraction form
    148,246.88/319,008.38 = 319,008.38/x
  3. Step 3: Cross multiply
    148,246.88x = 319,008.38 × 319,008.38
  4. Step 4: Simplify right side
    148,246.88x = 101,766,343,320.14
  5. Step 5: Solve for x
    x = 101,766,343,320.14/148,246.88
  6. Step 6: Final answer
    x = 686,465.35

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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.