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Finding the Third Proportional to 160,998 and 349,656

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Solution

The third proportional to 160,998 and 349,656 is: 759,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,998 : 349,656 = 349,656 : x
  2. Step 2: Convert to fraction form
    160,998/349,656 = 349,656/x
  3. Step 3: Cross multiply
    160,998x = 349,656 × 349,656
  4. Step 4: Simplify right side
    160,998x = 122,259,318,336
  5. Step 5: Solve for x
    x = 122,259,318,336/160,998
  6. Step 6: Final answer
    x = 759,384.08

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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.