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Finding the Third Proportional to 142,219 and 304,677

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Solution

The third proportional to 142,219 and 304,677 is: 652,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,219 : 304,677 = 304,677 : x
  2. Step 2: Convert to fraction form
    142,219/304,677 = 304,677/x
  3. Step 3: Cross multiply
    142,219x = 304,677 × 304,677
  4. Step 4: Simplify right side
    142,219x = 92,828,074,329
  5. Step 5: Solve for x
    x = 92,828,074,329/142,219
  6. Step 6: Final answer
    x = 652,712.19

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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.