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Finding the Third Proportional to 107,258 and 230,959

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Solution

The third proportional to 107,258 and 230,959 is: 497,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,258 : 230,959 = 230,959 : x
  2. Step 2: Convert to fraction form
    107,258/230,959 = 230,959/x
  3. Step 3: Cross multiply
    107,258x = 230,959 × 230,959
  4. Step 4: Simplify right side
    107,258x = 53,342,059,681
  5. Step 5: Solve for x
    x = 53,342,059,681/107,258
  6. Step 6: Final answer
    x = 497,324.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.