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Finding the Third Proportional to 233,150 and 349,725

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Solution

The third proportional to 233,150 and 349,725 is: 524,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,150 : 349,725 = 349,725 : x
  2. Step 2: Convert to fraction form
    233,150/349,725 = 349,725/x
  3. Step 3: Cross multiply
    233,150x = 349,725 × 349,725
  4. Step 4: Simplify right side
    233,150x = 122,307,575,625
  5. Step 5: Solve for x
    x = 122,307,575,625/233,150
  6. Step 6: Final answer
    x = 524,587.50

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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.