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Finding the Third Proportional to 151,210 and 325,532

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Solution

The third proportional to 151,210 and 325,532 is: 700,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,210 : 325,532 = 325,532 : x
  2. Step 2: Convert to fraction form
    151,210/325,532 = 325,532/x
  3. Step 3: Cross multiply
    151,210x = 325,532 × 325,532
  4. Step 4: Simplify right side
    151,210x = 105,971,083,024
  5. Step 5: Solve for x
    x = 105,971,083,024/151,210
  6. Step 6: Final answer
    x = 700,820.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.