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Finding the Third Proportional to 251,742.50 and 547,312.50

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Solution

The third proportional to 251,742.50 and 547,312.50 is: 1,189,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,742.50 : 547,312.50 = 547,312.50 : x
  2. Step 2: Convert to fraction form
    251,742.50/547,312.50 = 547,312.50/x
  3. Step 3: Cross multiply
    251,742.50x = 547,312.50 × 547,312.50
  4. Step 4: Simplify right side
    251,742.50x = 299,550,972,656.25
  5. Step 5: Solve for x
    x = 299,550,972,656.25/251,742.50
  6. Step 6: Final answer
    x = 1,189,910.22

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Why These Related Problems?

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