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Finding the Third Proportional to 151,356 and 234,345.75

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Solution

The third proportional to 151,356 and 234,345.75 is: 362,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,356 : 234,345.75 = 234,345.75 : x
  2. Step 2: Convert to fraction form
    151,356/234,345.75 = 234,345.75/x
  3. Step 3: Cross multiply
    151,356x = 234,345.75 × 234,345.75
  4. Step 4: Simplify right side
    151,356x = 54,917,930,543.06
  5. Step 5: Solve for x
    x = 54,917,930,543.06/151,356
  6. Step 6: Final answer
    x = 362,839.47

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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.