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Finding the Third Proportional to 148,306 and 349,942

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Solution

The third proportional to 148,306 and 349,942 is: 825,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,306 : 349,942 = 349,942 : x
  2. Step 2: Convert to fraction form
    148,306/349,942 = 349,942/x
  3. Step 3: Cross multiply
    148,306x = 349,942 × 349,942
  4. Step 4: Simplify right side
    148,306x = 122,459,403,364
  5. Step 5: Solve for x
    x = 122,459,403,364/148,306
  6. Step 6: Final answer
    x = 825,721.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.