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Finding the Third Proportional to 219,160.13 and 296,988.19

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Solution

The third proportional to 219,160.13 and 296,988.19 is: 402,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,160.13 : 296,988.19 = 296,988.19 : x
  2. Step 2: Convert to fraction form
    219,160.13/296,988.19 = 296,988.19/x
  3. Step 3: Cross multiply
    219,160.13x = 296,988.19 × 296,988.19
  4. Step 4: Simplify right side
    219,160.13x = 88,201,983,514.54
  5. Step 5: Solve for x
    x = 88,201,983,514.54/219,160.13
  6. Step 6: Final answer
    x = 402,454.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.