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Finding the Third Proportional to 152,258 and 326,959

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Solution

The third proportional to 152,258 and 326,959 is: 702,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,258 : 326,959 = 326,959 : x
  2. Step 2: Convert to fraction form
    152,258/326,959 = 326,959/x
  3. Step 3: Cross multiply
    152,258x = 326,959 × 326,959
  4. Step 4: Simplify right side
    152,258x = 106,902,187,681
  5. Step 5: Solve for x
    x = 106,902,187,681/152,258
  6. Step 6: Final answer
    x = 702,112.12

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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.