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Finding the Third Proportional to 182,537.61 and 399,430.78

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Solution

The third proportional to 182,537.61 and 399,430.78 is: 874,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,537.61 : 399,430.78 = 399,430.78 : x
  2. Step 2: Convert to fraction form
    182,537.61/399,430.78 = 399,430.78/x
  3. Step 3: Cross multiply
    182,537.61x = 399,430.78 × 399,430.78
  4. Step 4: Simplify right side
    182,537.61x = 159,544,944,329.17
  5. Step 5: Solve for x
    x = 159,544,944,329.17/182,537.61
  6. Step 6: Final answer
    x = 874,038.73

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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.