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Finding the Third Proportional to 123,153 and 265,304

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Solution

The third proportional to 123,153 and 265,304 is: 571,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,153 : 265,304 = 265,304 : x
  2. Step 2: Convert to fraction form
    123,153/265,304 = 265,304/x
  3. Step 3: Cross multiply
    123,153x = 265,304 × 265,304
  4. Step 4: Simplify right side
    123,153x = 70,386,212,416
  5. Step 5: Solve for x
    x = 70,386,212,416/123,153
  6. Step 6: Final answer
    x = 571,534.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.