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Finding the Third Proportional to 171,061.50 and 251,347.50

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Solution

The third proportional to 171,061.50 and 251,347.50 is: 369,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,061.50 : 251,347.50 = 251,347.50 : x
  2. Step 2: Convert to fraction form
    171,061.50/251,347.50 = 251,347.50/x
  3. Step 3: Cross multiply
    171,061.50x = 251,347.50 × 251,347.50
  4. Step 4: Simplify right side
    171,061.50x = 63,175,565,756.25
  5. Step 5: Solve for x
    x = 63,175,565,756.25/171,061.50
  6. Step 6: Final answer
    x = 369,314.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.