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Finding the Third Proportional to 232,728.19 and 344,715.75

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Solution

The third proportional to 232,728.19 and 344,715.75 is: 510,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,728.19 : 344,715.75 = 344,715.75 : x
  2. Step 2: Convert to fraction form
    232,728.19/344,715.75 = 344,715.75/x
  3. Step 3: Cross multiply
    232,728.19x = 344,715.75 × 344,715.75
  4. Step 4: Simplify right side
    232,728.19x = 118,828,948,298.06
  5. Step 5: Solve for x
    x = 118,828,948,298.06/232,728.19
  6. Step 6: Final answer
    x = 510,591.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.