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Finding the Third Proportional to 116,943 and 256,143

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Solution

The third proportional to 116,943 and 256,143 is: 561,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,943 : 256,143 = 256,143 : x
  2. Step 2: Convert to fraction form
    116,943/256,143 = 256,143/x
  3. Step 3: Cross multiply
    116,943x = 256,143 × 256,143
  4. Step 4: Simplify right side
    116,943x = 65,609,236,449
  5. Step 5: Solve for x
    x = 65,609,236,449/116,943
  6. Step 6: Final answer
    x = 561,036.03

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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.