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Finding the Third Proportional to 178,807.50 and 382,502.25

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Solution

The third proportional to 178,807.50 and 382,502.25 is: 818,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,807.50 : 382,502.25 = 382,502.25 : x
  2. Step 2: Convert to fraction form
    178,807.50/382,502.25 = 382,502.25/x
  3. Step 3: Cross multiply
    178,807.50x = 382,502.25 × 382,502.25
  4. Step 4: Simplify right side
    178,807.50x = 146,307,971,255.06
  5. Step 5: Solve for x
    x = 146,307,971,255.06/178,807.50
  6. Step 6: Final answer
    x = 818,242.92

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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.