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Finding the Third Proportional to 124,360 and 265,320

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Solution

The third proportional to 124,360 and 265,320 is: 566,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,360 : 265,320 = 265,320 : x
  2. Step 2: Convert to fraction form
    124,360/265,320 = 265,320/x
  3. Step 3: Cross multiply
    124,360x = 265,320 × 265,320
  4. Step 4: Simplify right side
    124,360x = 70,394,702,400
  5. Step 5: Solve for x
    x = 70,394,702,400/124,360
  6. Step 6: Final answer
    x = 566,055.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.