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Finding the Third Proportional to 142,267.13 and 297,686.63

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Solution

The third proportional to 142,267.13 and 297,686.63 is: 622,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,267.13 : 297,686.63 = 297,686.63 : x
  2. Step 2: Convert to fraction form
    142,267.13/297,686.63 = 297,686.63/x
  3. Step 3: Cross multiply
    142,267.13x = 297,686.63 × 297,686.63
  4. Step 4: Simplify right side
    142,267.13x = 88,617,326,703.89
  5. Step 5: Solve for x
    x = 88,617,326,703.89/142,267.13
  6. Step 6: Final answer
    x = 622,893.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.