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Finding the Third Proportional to 214,864.50 and 455,343

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Solution

The third proportional to 214,864.50 and 455,343 is: 964,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,864.50 : 455,343 = 455,343 : x
  2. Step 2: Convert to fraction form
    214,864.50/455,343 = 455,343/x
  3. Step 3: Cross multiply
    214,864.50x = 455,343 × 455,343
  4. Step 4: Simplify right side
    214,864.50x = 207,337,247,649
  5. Step 5: Solve for x
    x = 207,337,247,649/214,864.50
  6. Step 6: Final answer
    x = 964,967.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.