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Finding the Third Proportional to 142,291.69 and 297,730.69

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Solution

The third proportional to 142,291.69 and 297,730.69 is: 622,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,291.69 : 297,730.69 = 297,730.69 : x
  2. Step 2: Convert to fraction form
    142,291.69/297,730.69 = 297,730.69/x
  3. Step 3: Cross multiply
    142,291.69x = 297,730.69 × 297,730.69
  4. Step 4: Simplify right side
    142,291.69x = 88,643,562,279.22
  5. Step 5: Solve for x
    x = 88,643,562,279.22/142,291.69
  6. Step 6: Final answer
    x = 622,970.77

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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.