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Finding the Third Proportional to 123,332 and 265,862

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Solution

The third proportional to 123,332 and 265,862 is: 573,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,332 : 265,862 = 265,862 : x
  2. Step 2: Convert to fraction form
    123,332/265,862 = 265,862/x
  3. Step 3: Cross multiply
    123,332x = 265,862 × 265,862
  4. Step 4: Simplify right side
    123,332x = 70,682,603,044
  5. Step 5: Solve for x
    x = 70,682,603,044/123,332
  6. Step 6: Final answer
    x = 573,108.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.