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Finding the Third Proportional to 173,378.81 and 272,048.06

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Solution

The third proportional to 173,378.81 and 272,048.06 is: 426,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,378.81 : 272,048.06 = 272,048.06 : x
  2. Step 2: Convert to fraction form
    173,378.81/272,048.06 = 272,048.06/x
  3. Step 3: Cross multiply
    173,378.81x = 272,048.06 × 272,048.06
  4. Step 4: Simplify right side
    173,378.81x = 74,010,148,310.00
  5. Step 5: Solve for x
    x = 74,010,148,310.00/173,378.81
  6. Step 6: Final answer
    x = 426,869.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.