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Finding the Third Proportional to 73,228.50 and 152,289

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Solution

The third proportional to 73,228.50 and 152,289 is: 316,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,228.50 : 152,289 = 152,289 : x
  2. Step 2: Convert to fraction form
    73,228.50/152,289 = 152,289/x
  3. Step 3: Cross multiply
    73,228.50x = 152,289 × 152,289
  4. Step 4: Simplify right side
    73,228.50x = 23,191,939,521
  5. Step 5: Solve for x
    x = 23,191,939,521/73,228.50
  6. Step 6: Final answer
    x = 316,706.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.