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Finding the Third Proportional to 172,433.50 and 266,031

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Solution

The third proportional to 172,433.50 and 266,031 is: 410,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,433.50 : 266,031 = 266,031 : x
  2. Step 2: Convert to fraction form
    172,433.50/266,031 = 266,031/x
  3. Step 3: Cross multiply
    172,433.50x = 266,031 × 266,031
  4. Step 4: Simplify right side
    172,433.50x = 70,772,492,961
  5. Step 5: Solve for x
    x = 70,772,492,961/172,433.50
  6. Step 6: Final answer
    x = 410,433.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.