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Finding the Third Proportional to 182,275.50 and 284,929.50

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Solution

The third proportional to 182,275.50 and 284,929.50 is: 445,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,275.50 : 284,929.50 = 284,929.50 : x
  2. Step 2: Convert to fraction form
    182,275.50/284,929.50 = 284,929.50/x
  3. Step 3: Cross multiply
    182,275.50x = 284,929.50 × 284,929.50
  4. Step 4: Simplify right side
    182,275.50x = 81,184,819,970.25
  5. Step 5: Solve for x
    x = 81,184,819,970.25/182,275.50
  6. Step 6: Final answer
    x = 445,396.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.