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Finding the Third Proportional to 161,242.50 and 376,527.75

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Solution

The third proportional to 161,242.50 and 376,527.75 is: 879,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,242.50 : 376,527.75 = 376,527.75 : x
  2. Step 2: Convert to fraction form
    161,242.50/376,527.75 = 376,527.75/x
  3. Step 3: Cross multiply
    161,242.50x = 376,527.75 × 376,527.75
  4. Step 4: Simplify right side
    161,242.50x = 141,773,146,520.06
  5. Step 5: Solve for x
    x = 141,773,146,520.06/161,242.50
  6. Step 6: Final answer
    x = 879,254.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.