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Finding the Third Proportional to 160,663.50 and 349,894.69

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Solution

The third proportional to 160,663.50 and 349,894.69 is: 762,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,663.50 : 349,894.69 = 349,894.69 : x
  2. Step 2: Convert to fraction form
    160,663.50/349,894.69 = 349,894.69/x
  3. Step 3: Cross multiply
    160,663.50x = 349,894.69 × 349,894.69
  4. Step 4: Simplify right side
    160,663.50x = 122,426,292,340.72
  5. Step 5: Solve for x
    x = 122,426,292,340.72/160,663.50
  6. Step 6: Final answer
    x = 762,004.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.