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Finding the Third Proportional to 182,386.69 and 291,372.19

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Solution

The third proportional to 182,386.69 and 291,372.19 is: 465,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,386.69 : 291,372.19 = 291,372.19 : x
  2. Step 2: Convert to fraction form
    182,386.69/291,372.19 = 291,372.19/x
  3. Step 3: Cross multiply
    182,386.69x = 291,372.19 × 291,372.19
  4. Step 4: Simplify right side
    182,386.69x = 84,897,751,648.54
  5. Step 5: Solve for x
    x = 84,897,751,648.54/182,386.69
  6. Step 6: Final answer
    x = 465,482.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.