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Finding the Third Proportional to 207,232 and 325,560

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Solution

The third proportional to 207,232 and 325,560 is: 511,452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,232 : 325,560 = 325,560 : x
  2. Step 2: Convert to fraction form
    207,232/325,560 = 325,560/x
  3. Step 3: Cross multiply
    207,232x = 325,560 × 325,560
  4. Step 4: Simplify right side
    207,232x = 105,989,313,600
  5. Step 5: Solve for x
    x = 105,989,313,600/207,232
  6. Step 6: Final answer
    x = 511,452.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.