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Finding the Third Proportional to 162,228.50 and 349,415

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Solution

The third proportional to 162,228.50 and 349,415 is: 752,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,228.50 : 349,415 = 349,415 : x
  2. Step 2: Convert to fraction form
    162,228.50/349,415 = 349,415/x
  3. Step 3: Cross multiply
    162,228.50x = 349,415 × 349,415
  4. Step 4: Simplify right side
    162,228.50x = 122,090,842,225
  5. Step 5: Solve for x
    x = 122,090,842,225/162,228.50
  6. Step 6: Final answer
    x = 752,585.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.