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Finding the Third Proportional to 143,070 and 304,620

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Solution

The third proportional to 143,070 and 304,620 is: 648,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,070 : 304,620 = 304,620 : x
  2. Step 2: Convert to fraction form
    143,070/304,620 = 304,620/x
  3. Step 3: Cross multiply
    143,070x = 304,620 × 304,620
  4. Step 4: Simplify right side
    143,070x = 92,793,344,400
  5. Step 5: Solve for x
    x = 92,793,344,400/143,070
  6. Step 6: Final answer
    x = 648,587.02

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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.