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Finding the Third Proportional to 176,802 and 363,810

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Solution

The third proportional to 176,802 and 363,810 is: 748,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,802 : 363,810 = 363,810 : x
  2. Step 2: Convert to fraction form
    176,802/363,810 = 363,810/x
  3. Step 3: Cross multiply
    176,802x = 363,810 × 363,810
  4. Step 4: Simplify right side
    176,802x = 132,357,716,100
  5. Step 5: Solve for x
    x = 132,357,716,100/176,802
  6. Step 6: Final answer
    x = 748,621.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.