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Finding the Third Proportional to 176,496 and 384,720

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Solution

The third proportional to 176,496 and 384,720 is: 838,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,496 : 384,720 = 384,720 : x
  2. Step 2: Convert to fraction form
    176,496/384,720 = 384,720/x
  3. Step 3: Cross multiply
    176,496x = 384,720 × 384,720
  4. Step 4: Simplify right side
    176,496x = 148,009,478,400
  5. Step 5: Solve for x
    x = 148,009,478,400/176,496
  6. Step 6: Final answer
    x = 838,599.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.