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Finding the Third Proportional to 155,923.50 and 243,012

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Solution

The third proportional to 155,923.50 and 243,012 is: 378,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,923.50 : 243,012 = 243,012 : x
  2. Step 2: Convert to fraction form
    155,923.50/243,012 = 243,012/x
  3. Step 3: Cross multiply
    155,923.50x = 243,012 × 243,012
  4. Step 4: Simplify right side
    155,923.50x = 59,054,832,144
  5. Step 5: Solve for x
    x = 59,054,832,144/155,923.50
  6. Step 6: Final answer
    x = 378,742.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.