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Finding the Third Proportional to 117,265 and 252,776

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Solution

The third proportional to 117,265 and 252,776 is: 544,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,265 : 252,776 = 252,776 : x
  2. Step 2: Convert to fraction form
    117,265/252,776 = 252,776/x
  3. Step 3: Cross multiply
    117,265x = 252,776 × 252,776
  4. Step 4: Simplify right side
    117,265x = 63,895,706,176
  5. Step 5: Solve for x
    x = 63,895,706,176/117,265
  6. Step 6: Final answer
    x = 544,883.01

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Why These Related Problems?

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