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Finding the Third Proportional to 182,509.50 and 390,240.75

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Solution

The third proportional to 182,509.50 and 390,240.75 is: 834,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,509.50 : 390,240.75 = 390,240.75 : x
  2. Step 2: Convert to fraction form
    182,509.50/390,240.75 = 390,240.75/x
  3. Step 3: Cross multiply
    182,509.50x = 390,240.75 × 390,240.75
  4. Step 4: Simplify right side
    182,509.50x = 152,287,842,960.56
  5. Step 5: Solve for x
    x = 152,287,842,960.56/182,509.50
  6. Step 6: Final answer
    x = 834,410.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.