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Finding the Third Proportional to 248,995.13 and 540,211.50

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Solution

The third proportional to 248,995.13 and 540,211.50 is: 1,172,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,995.13 : 540,211.50 = 540,211.50 : x
  2. Step 2: Convert to fraction form
    248,995.13/540,211.50 = 540,211.50/x
  3. Step 3: Cross multiply
    248,995.13x = 540,211.50 × 540,211.50
  4. Step 4: Simplify right side
    248,995.13x = 291,828,464,732.25
  5. Step 5: Solve for x
    x = 291,828,464,732.25/248,995.13
  6. Step 6: Final answer
    x = 1,172,024.81

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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.