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Finding the Third Proportional to 142,217.50 and 304,675.50

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Solution

The third proportional to 142,217.50 and 304,675.50 is: 652,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,217.50 : 304,675.50 = 304,675.50 : x
  2. Step 2: Convert to fraction form
    142,217.50/304,675.50 = 304,675.50/x
  3. Step 3: Cross multiply
    142,217.50x = 304,675.50 × 304,675.50
  4. Step 4: Simplify right side
    142,217.50x = 92,827,160,300.25
  5. Step 5: Solve for x
    x = 92,827,160,300.25/142,217.50
  6. Step 6: Final answer
    x = 652,712.64

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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.