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Finding the Third Proportional to 88,260 and 191,346

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Solution

The third proportional to 88,260 and 191,346 is: 414,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,260 : 191,346 = 191,346 : x
  2. Step 2: Convert to fraction form
    88,260/191,346 = 191,346/x
  3. Step 3: Cross multiply
    88,260x = 191,346 × 191,346
  4. Step 4: Simplify right side
    88,260x = 36,613,291,716
  5. Step 5: Solve for x
    x = 36,613,291,716/88,260
  6. Step 6: Final answer
    x = 414,834.49

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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.