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Finding the Third Proportional to 94,786 and 207,428

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Solution

The third proportional to 94,786 and 207,428 is: 453,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,786 : 207,428 = 207,428 : x
  2. Step 2: Convert to fraction form
    94,786/207,428 = 207,428/x
  3. Step 3: Cross multiply
    94,786x = 207,428 × 207,428
  4. Step 4: Simplify right side
    94,786x = 43,026,375,184
  5. Step 5: Solve for x
    x = 43,026,375,184/94,786
  6. Step 6: Final answer
    x = 453,931.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.