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Finding the Third Proportional to 142,603.88 and 309,838.50

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Solution

The third proportional to 142,603.88 and 309,838.50 is: 673,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,603.88 : 309,838.50 = 309,838.50 : x
  2. Step 2: Convert to fraction form
    142,603.88/309,838.50 = 309,838.50/x
  3. Step 3: Cross multiply
    142,603.88x = 309,838.50 × 309,838.50
  4. Step 4: Simplify right side
    142,603.88x = 95,999,896,082.25
  5. Step 5: Solve for x
    x = 95,999,896,082.25/142,603.88
  6. Step 6: Final answer
    x = 673,192.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.