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Finding the Third Proportional to 177,306 and 265,959

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Solution

The third proportional to 177,306 and 265,959 is: 398,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,306 : 265,959 = 265,959 : x
  2. Step 2: Convert to fraction form
    177,306/265,959 = 265,959/x
  3. Step 3: Cross multiply
    177,306x = 265,959 × 265,959
  4. Step 4: Simplify right side
    177,306x = 70,734,189,681
  5. Step 5: Solve for x
    x = 70,734,189,681/177,306
  6. Step 6: Final answer
    x = 398,938.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.