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Finding the Third Proportional to 207,492.75 and 319,078.13

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Solution

The third proportional to 207,492.75 and 319,078.13 is: 490,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,492.75 : 319,078.13 = 319,078.13 : x
  2. Step 2: Convert to fraction form
    207,492.75/319,078.13 = 319,078.13/x
  3. Step 3: Cross multiply
    207,492.75x = 319,078.13 × 319,078.13
  4. Step 4: Simplify right side
    207,492.75x = 101,810,849,853.52
  5. Step 5: Solve for x
    x = 101,810,849,853.52/207,492.75
  6. Step 6: Final answer
    x = 490,671.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.