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Finding the Third Proportional to 88,160 and 191,296

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Solution

The third proportional to 88,160 and 191,296 is: 415,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,160 : 191,296 = 191,296 : x
  2. Step 2: Convert to fraction form
    88,160/191,296 = 191,296/x
  3. Step 3: Cross multiply
    88,160x = 191,296 × 191,296
  4. Step 4: Simplify right side
    88,160x = 36,594,159,616
  5. Step 5: Solve for x
    x = 36,594,159,616/88,160
  6. Step 6: Final answer
    x = 415,088.02

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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.