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Finding the Third Proportional to 153,248.63 and 330,257.25

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Solution

The third proportional to 153,248.63 and 330,257.25 is: 711,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,248.63 : 330,257.25 = 330,257.25 : x
  2. Step 2: Convert to fraction form
    153,248.63/330,257.25 = 330,257.25/x
  3. Step 3: Cross multiply
    153,248.63x = 330,257.25 × 330,257.25
  4. Step 4: Simplify right side
    153,248.63x = 109,069,851,177.56
  5. Step 5: Solve for x
    x = 109,069,851,177.56/153,248.63
  6. Step 6: Final answer
    x = 711,718.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.