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Finding the Third Proportional to 253,222.50 and 540,344.25

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Solution

The third proportional to 253,222.50 and 540,344.25 is: 1,153,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,222.50 : 540,344.25 = 540,344.25 : x
  2. Step 2: Convert to fraction form
    253,222.50/540,344.25 = 540,344.25/x
  3. Step 3: Cross multiply
    253,222.50x = 540,344.25 × 540,344.25
  4. Step 4: Simplify right side
    253,222.50x = 291,971,908,508.06
  5. Step 5: Solve for x
    x = 291,971,908,508.06/253,222.50
  6. Step 6: Final answer
    x = 1,153,025.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.