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Finding the Third Proportional to 151,319 and 234,156

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Solution

The third proportional to 151,319 and 234,156 is: 362,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,319 : 234,156 = 234,156 : x
  2. Step 2: Convert to fraction form
    151,319/234,156 = 234,156/x
  3. Step 3: Cross multiply
    151,319x = 234,156 × 234,156
  4. Step 4: Simplify right side
    151,319x = 54,829,032,336
  5. Step 5: Solve for x
    x = 54,829,032,336/151,319
  6. Step 6: Final answer
    x = 362,340.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.