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Finding the Third Proportional to 142,926 and 304,347

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Solution

The third proportional to 142,926 and 304,347 is: 648,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,926 : 304,347 = 304,347 : x
  2. Step 2: Convert to fraction form
    142,926/304,347 = 304,347/x
  3. Step 3: Cross multiply
    142,926x = 304,347 × 304,347
  4. Step 4: Simplify right side
    142,926x = 92,627,096,409
  5. Step 5: Solve for x
    x = 92,627,096,409/142,926
  6. Step 6: Final answer
    x = 648,077.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.