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Finding the Third Proportional to 134,824.69 and 292,567.31

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Solution

The third proportional to 134,824.69 and 292,567.31 is: 634,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,824.69 : 292,567.31 = 292,567.31 : x
  2. Step 2: Convert to fraction form
    134,824.69/292,567.31 = 292,567.31/x
  3. Step 3: Cross multiply
    134,824.69x = 292,567.31 × 292,567.31
  4. Step 4: Simplify right side
    134,824.69x = 85,595,632,343.47
  5. Step 5: Solve for x
    x = 85,595,632,343.47/134,824.69
  6. Step 6: Final answer
    x = 634,866.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.