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Finding the Third Proportional to 115,454 and 252,070

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Solution

The third proportional to 115,454 and 252,070 is: 550,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,454 : 252,070 = 252,070 : x
  2. Step 2: Convert to fraction form
    115,454/252,070 = 252,070/x
  3. Step 3: Cross multiply
    115,454x = 252,070 × 252,070
  4. Step 4: Simplify right side
    115,454x = 63,539,284,900
  5. Step 5: Solve for x
    x = 63,539,284,900/115,454
  6. Step 6: Final answer
    x = 550,342.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.