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Finding the Third Proportional to 142,160 and 304,002

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Solution

The third proportional to 142,160 and 304,002 is: 650,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,160 : 304,002 = 304,002 : x
  2. Step 2: Convert to fraction form
    142,160/304,002 = 304,002/x
  3. Step 3: Cross multiply
    142,160x = 304,002 × 304,002
  4. Step 4: Simplify right side
    142,160x = 92,417,216,004
  5. Step 5: Solve for x
    x = 92,417,216,004/142,160
  6. Step 6: Final answer
    x = 650,092.97

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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.