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Finding the Third Proportional to 142,704 and 304,407

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Solution

The third proportional to 142,704 and 304,407 is: 649,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,704 : 304,407 = 304,407 : x
  2. Step 2: Convert to fraction form
    142,704/304,407 = 304,407/x
  3. Step 3: Cross multiply
    142,704x = 304,407 × 304,407
  4. Step 4: Simplify right side
    142,704x = 92,663,621,649
  5. Step 5: Solve for x
    x = 92,663,621,649/142,704
  6. Step 6: Final answer
    x = 649,341.45

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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.