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Finding the Third Proportional to 120,312 and 243,544.50

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Solution

The third proportional to 120,312 and 243,544.50 is: 493,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,312 : 243,544.50 = 243,544.50 : x
  2. Step 2: Convert to fraction form
    120,312/243,544.50 = 243,544.50/x
  3. Step 3: Cross multiply
    120,312x = 243,544.50 × 243,544.50
  4. Step 4: Simplify right side
    120,312x = 59,313,923,480.25
  5. Step 5: Solve for x
    x = 59,313,923,480.25/120,312
  6. Step 6: Final answer
    x = 493,000.89

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.