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Finding the Third Proportional to 160,810 and 254,864

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Solution

The third proportional to 160,810 and 254,864 is: 403,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,810 : 254,864 = 254,864 : x
  2. Step 2: Convert to fraction form
    160,810/254,864 = 254,864/x
  3. Step 3: Cross multiply
    160,810x = 254,864 × 254,864
  4. Step 4: Simplify right side
    160,810x = 64,955,658,496
  5. Step 5: Solve for x
    x = 64,955,658,496/160,810
  6. Step 6: Final answer
    x = 403,927.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.