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Finding the Third Proportional to 163,725.88 and 357,888.13

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Solution

The third proportional to 163,725.88 and 357,888.13 is: 782,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,725.88 : 357,888.13 = 357,888.13 : x
  2. Step 2: Convert to fraction form
    163,725.88/357,888.13 = 357,888.13/x
  3. Step 3: Cross multiply
    163,725.88x = 357,888.13 × 357,888.13
  4. Step 4: Simplify right side
    163,725.88x = 128,083,910,016.02
  5. Step 5: Solve for x
    x = 128,083,910,016.02/163,725.88
  6. Step 6: Final answer
    x = 782,307.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.