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Finding the Third Proportional to 176,968.50 and 382,207.50

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Solution

The third proportional to 176,968.50 and 382,207.50 is: 825,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,968.50 : 382,207.50 = 382,207.50 : x
  2. Step 2: Convert to fraction form
    176,968.50/382,207.50 = 382,207.50/x
  3. Step 3: Cross multiply
    176,968.50x = 382,207.50 × 382,207.50
  4. Step 4: Simplify right side
    176,968.50x = 146,082,573,056.25
  5. Step 5: Solve for x
    x = 146,082,573,056.25/176,968.50
  6. Step 6: Final answer
    x = 825,472.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.