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Finding the Third Proportional to 115,472.67 and 253,424.11

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Solution

The third proportional to 115,472.67 and 253,424.11 is: 556,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,472.67 : 253,424.11 = 253,424.11 : x
  2. Step 2: Convert to fraction form
    115,472.67/253,424.11 = 253,424.11/x
  3. Step 3: Cross multiply
    115,472.67x = 253,424.11 × 253,424.11
  4. Step 4: Simplify right side
    115,472.67x = 64,223,779,212.51
  5. Step 5: Solve for x
    x = 64,223,779,212.51/115,472.67
  6. Step 6: Final answer
    x = 556,181.63

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Why These Related Problems?

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