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Finding the Third Proportional to 115,314 and 250,822.50

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Solution

The third proportional to 115,314 and 250,822.50 is: 545,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,314 : 250,822.50 = 250,822.50 : x
  2. Step 2: Convert to fraction form
    115,314/250,822.50 = 250,822.50/x
  3. Step 3: Cross multiply
    115,314x = 250,822.50 × 250,822.50
  4. Step 4: Simplify right side
    115,314x = 62,911,926,506.25
  5. Step 5: Solve for x
    x = 62,911,926,506.25/115,314
  6. Step 6: Final answer
    x = 545,570.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.