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Finding the Third Proportional to 176,503.50 and 382,491

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Solution

The third proportional to 176,503.50 and 382,491 is: 828,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,503.50 : 382,491 = 382,491 : x
  2. Step 2: Convert to fraction form
    176,503.50/382,491 = 382,491/x
  3. Step 3: Cross multiply
    176,503.50x = 382,491 × 382,491
  4. Step 4: Simplify right side
    176,503.50x = 146,299,365,081
  5. Step 5: Solve for x
    x = 146,299,365,081/176,503.50
  6. Step 6: Final answer
    x = 828,875.15

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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.