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Finding the Third Proportional to 184,852.13 and 272,899.13

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Solution

The third proportional to 184,852.13 and 272,899.13 is: 402,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,852.13 : 272,899.13 = 272,899.13 : x
  2. Step 2: Convert to fraction form
    184,852.13/272,899.13 = 272,899.13/x
  3. Step 3: Cross multiply
    184,852.13x = 272,899.13 × 272,899.13
  4. Step 4: Simplify right side
    184,852.13x = 74,473,932,425.77
  5. Step 5: Solve for x
    x = 74,473,932,425.77/184,852.13
  6. Step 6: Final answer
    x = 402,883.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.