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Finding the Third Proportional to 169,480 and 363,416

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Solution

The third proportional to 169,480 and 363,416 is: 779,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,480 : 363,416 = 363,416 : x
  2. Step 2: Convert to fraction form
    169,480/363,416 = 363,416/x
  3. Step 3: Cross multiply
    169,480x = 363,416 × 363,416
  4. Step 4: Simplify right side
    169,480x = 132,071,189,056
  5. Step 5: Solve for x
    x = 132,071,189,056/169,480
  6. Step 6: Final answer
    x = 779,273.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.