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Finding the Third Proportional to 179,569.13 and 278,038.88

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Solution

The third proportional to 179,569.13 and 278,038.88 is: 430,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,569.13 : 278,038.88 = 278,038.88 : x
  2. Step 2: Convert to fraction form
    179,569.13/278,038.88 = 278,038.88/x
  3. Step 3: Cross multiply
    179,569.13x = 278,038.88 × 278,038.88
  4. Step 4: Simplify right side
    179,569.13x = 77,305,616,011.27
  5. Step 5: Solve for x
    x = 77,305,616,011.27/179,569.13
  6. Step 6: Final answer
    x = 430,506.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.