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Finding the Third Proportional to 151,438 and 233,475

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Solution

The third proportional to 151,438 and 233,475 is: 359,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,438 : 233,475 = 233,475 : x
  2. Step 2: Convert to fraction form
    151,438/233,475 = 233,475/x
  3. Step 3: Cross multiply
    151,438x = 233,475 × 233,475
  4. Step 4: Simplify right side
    151,438x = 54,510,575,625
  5. Step 5: Solve for x
    x = 54,510,575,625/151,438
  6. Step 6: Final answer
    x = 359,953.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.