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Finding the Third Proportional to 88,232 and 188,776

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Solution

The third proportional to 88,232 and 188,776 is: 403,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,232 : 188,776 = 188,776 : x
  2. Step 2: Convert to fraction form
    88,232/188,776 = 188,776/x
  3. Step 3: Cross multiply
    88,232x = 188,776 × 188,776
  4. Step 4: Simplify right side
    88,232x = 35,636,378,176
  5. Step 5: Solve for x
    x = 35,636,378,176/88,232
  6. Step 6: Final answer
    x = 403,894.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.