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Finding the Third Proportional to 207,360 and 325,342

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Solution

The third proportional to 207,360 and 325,342 is: 510,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,360 : 325,342 = 325,342 : x
  2. Step 2: Convert to fraction form
    207,360/325,342 = 325,342/x
  3. Step 3: Cross multiply
    207,360x = 325,342 × 325,342
  4. Step 4: Simplify right side
    207,360x = 105,847,416,964
  5. Step 5: Solve for x
    x = 105,847,416,964/207,360
  6. Step 6: Final answer
    x = 510,452.44

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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.