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Finding the Third Proportional to 151,432 and 233,466

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Solution

The third proportional to 151,432 and 233,466 is: 359,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,432 : 233,466 = 233,466 : x
  2. Step 2: Convert to fraction form
    151,432/233,466 = 233,466/x
  3. Step 3: Cross multiply
    151,432x = 233,466 × 233,466
  4. Step 4: Simplify right side
    151,432x = 54,506,373,156
  5. Step 5: Solve for x
    x = 54,506,373,156/151,432
  6. Step 6: Final answer
    x = 359,939.60

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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.