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Finding the Third Proportional to 134,002.69 and 287,430.19

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Solution

The third proportional to 134,002.69 and 287,430.19 is: 616,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,002.69 : 287,430.19 = 287,430.19 : x
  2. Step 2: Convert to fraction form
    134,002.69/287,430.19 = 287,430.19/x
  3. Step 3: Cross multiply
    134,002.69x = 287,430.19 × 287,430.19
  4. Step 4: Simplify right side
    134,002.69x = 82,616,112,686.29
  5. Step 5: Solve for x
    x = 82,616,112,686.29/134,002.69
  6. Step 6: Final answer
    x = 616,525.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.