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Finding the Third Proportional to 142,454 and 304,672

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Solution

The third proportional to 142,454 and 304,672 is: 651,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,454 : 304,672 = 304,672 : x
  2. Step 2: Convert to fraction form
    142,454/304,672 = 304,672/x
  3. Step 3: Cross multiply
    142,454x = 304,672 × 304,672
  4. Step 4: Simplify right side
    142,454x = 92,825,027,584
  5. Step 5: Solve for x
    x = 92,825,027,584/142,454
  6. Step 6: Final answer
    x = 651,614.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.