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Finding the Third Proportional to 148,275.56 and 349,601.06

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Solution

The third proportional to 148,275.56 and 349,601.06 is: 824,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,275.56 : 349,601.06 = 349,601.06 : x
  2. Step 2: Convert to fraction form
    148,275.56/349,601.06 = 349,601.06/x
  3. Step 3: Cross multiply
    148,275.56x = 349,601.06 × 349,601.06
  4. Step 4: Simplify right side
    148,275.56x = 122,220,902,901.13
  5. Step 5: Solve for x
    x = 122,220,902,901.13/148,275.56
  6. Step 6: Final answer
    x = 824,282.17

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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.