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Finding the Third Proportional to 160,440 and 254,269

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Solution

The third proportional to 160,440 and 254,269 is: 402,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,440 : 254,269 = 254,269 : x
  2. Step 2: Convert to fraction form
    160,440/254,269 = 254,269/x
  3. Step 3: Cross multiply
    160,440x = 254,269 × 254,269
  4. Step 4: Simplify right side
    160,440x = 64,652,724,361
  5. Step 5: Solve for x
    x = 64,652,724,361/160,440
  6. Step 6: Final answer
    x = 402,971.36

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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.