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Finding the Third Proportional to 239,359.13 and 354,417

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Solution

The third proportional to 239,359.13 and 354,417 is: 524,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,359.13 : 354,417 = 354,417 : x
  2. Step 2: Convert to fraction form
    239,359.13/354,417 = 354,417/x
  3. Step 3: Cross multiply
    239,359.13x = 354,417 × 354,417
  4. Step 4: Simplify right side
    239,359.13x = 125,611,409,889
  5. Step 5: Solve for x
    x = 125,611,409,889/239,359.13
  6. Step 6: Final answer
    x = 524,782.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.