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Finding the Third Proportional to 175,083 and 271,624.50

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Solution

The third proportional to 175,083 and 271,624.50 is: 421,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,083 : 271,624.50 = 271,624.50 : x
  2. Step 2: Convert to fraction form
    175,083/271,624.50 = 271,624.50/x
  3. Step 3: Cross multiply
    175,083x = 271,624.50 × 271,624.50
  4. Step 4: Simplify right side
    175,083x = 73,779,869,000.25
  5. Step 5: Solve for x
    x = 73,779,869,000.25/175,083
  6. Step 6: Final answer
    x = 421,399.39

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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.