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Finding the Third Proportional to 94,652 and 202,428

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Solution

The third proportional to 94,652 and 202,428 is: 432,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,652 : 202,428 = 202,428 : x
  2. Step 2: Convert to fraction form
    94,652/202,428 = 202,428/x
  3. Step 3: Cross multiply
    94,652x = 202,428 × 202,428
  4. Step 4: Simplify right side
    94,652x = 40,977,095,184
  5. Step 5: Solve for x
    x = 40,977,095,184/94,652
  6. Step 6: Final answer
    x = 432,923.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.