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Finding the Third Proportional to 114,252 and 250,657.50

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Solution

The third proportional to 114,252 and 250,657.50 is: 549,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,252 : 250,657.50 = 250,657.50 : x
  2. Step 2: Convert to fraction form
    114,252/250,657.50 = 250,657.50/x
  3. Step 3: Cross multiply
    114,252x = 250,657.50 × 250,657.50
  4. Step 4: Simplify right side
    114,252x = 62,829,182,306.25
  5. Step 5: Solve for x
    x = 62,829,182,306.25/114,252
  6. Step 6: Final answer
    x = 549,917.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.