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Finding the Third Proportional to 221,827.50 and 344,124

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Solution

The third proportional to 221,827.50 and 344,124 is: 533,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,827.50 : 344,124 = 344,124 : x
  2. Step 2: Convert to fraction form
    221,827.50/344,124 = 344,124/x
  3. Step 3: Cross multiply
    221,827.50x = 344,124 × 344,124
  4. Step 4: Simplify right side
    221,827.50x = 118,421,327,376
  5. Step 5: Solve for x
    x = 118,421,327,376/221,827.50
  6. Step 6: Final answer
    x = 533,844.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.