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Finding the Third Proportional to 232,856.34 and 350,438.06

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Solution

The third proportional to 232,856.34 and 350,438.06 is: 527,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,856.34 : 350,438.06 = 350,438.06 : x
  2. Step 2: Convert to fraction form
    232,856.34/350,438.06 = 350,438.06/x
  3. Step 3: Cross multiply
    232,856.34x = 350,438.06 × 350,438.06
  4. Step 4: Simplify right side
    232,856.34x = 122,806,835,648.75
  5. Step 5: Solve for x
    x = 122,806,835,648.75/232,856.34
  6. Step 6: Final answer
    x = 527,393.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.