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Finding the Third Proportional to 152,921.75 and 316,596.25

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Solution

The third proportional to 152,921.75 and 316,596.25 is: 655,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,921.75 : 316,596.25 = 316,596.25 : x
  2. Step 2: Convert to fraction form
    152,921.75/316,596.25 = 316,596.25/x
  3. Step 3: Cross multiply
    152,921.75x = 316,596.25 × 316,596.25
  4. Step 4: Simplify right side
    152,921.75x = 100,233,185,514.06
  5. Step 5: Solve for x
    x = 100,233,185,514.06/152,921.75
  6. Step 6: Final answer
    x = 655,454.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.