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Finding the Third Proportional to 116,692 and 256,076

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Solution

The third proportional to 116,692 and 256,076 is: 561,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,692 : 256,076 = 256,076 : x
  2. Step 2: Convert to fraction form
    116,692/256,076 = 256,076/x
  3. Step 3: Cross multiply
    116,692x = 256,076 × 256,076
  4. Step 4: Simplify right side
    116,692x = 65,574,917,776
  5. Step 5: Solve for x
    x = 65,574,917,776/116,692
  6. Step 6: Final answer
    x = 561,948.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.