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Finding the Third Proportional to 232,748 and 355,888

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Solution

The third proportional to 232,748 and 355,888 is: 544,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,748 : 355,888 = 355,888 : x
  2. Step 2: Convert to fraction form
    232,748/355,888 = 355,888/x
  3. Step 3: Cross multiply
    232,748x = 355,888 × 355,888
  4. Step 4: Simplify right side
    232,748x = 126,656,268,544
  5. Step 5: Solve for x
    x = 126,656,268,544/232,748
  6. Step 6: Final answer
    x = 544,177.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.