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Finding the Third Proportional to 165,718 and 255,047

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Solution

The third proportional to 165,718 and 255,047 is: 392,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,718 : 255,047 = 255,047 : x
  2. Step 2: Convert to fraction form
    165,718/255,047 = 255,047/x
  3. Step 3: Cross multiply
    165,718x = 255,047 × 255,047
  4. Step 4: Simplify right side
    165,718x = 65,048,972,209
  5. Step 5: Solve for x
    x = 65,048,972,209/165,718
  6. Step 6: Final answer
    x = 392,528.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.