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Finding the Third Proportional to 157,548 and 235,774.50

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Solution

The third proportional to 157,548 and 235,774.50 is: 352,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,548 : 235,774.50 = 235,774.50 : x
  2. Step 2: Convert to fraction form
    157,548/235,774.50 = 235,774.50/x
  3. Step 3: Cross multiply
    157,548x = 235,774.50 × 235,774.50
  4. Step 4: Simplify right side
    157,548x = 55,589,614,850.25
  5. Step 5: Solve for x
    x = 55,589,614,850.25/157,548
  6. Step 6: Final answer
    x = 352,842.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.