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Finding the Third Proportional to 124,304 and 265,696

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Solution

The third proportional to 124,304 and 265,696 is: 567,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,304 : 265,696 = 265,696 : x
  2. Step 2: Convert to fraction form
    124,304/265,696 = 265,696/x
  3. Step 3: Cross multiply
    124,304x = 265,696 × 265,696
  4. Step 4: Simplify right side
    124,304x = 70,594,364,416
  5. Step 5: Solve for x
    x = 70,594,364,416/124,304
  6. Step 6: Final answer
    x = 567,917.08

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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.