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Finding the Third Proportional to 94,732 and 202,594

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Solution

The third proportional to 94,732 and 202,594 is: 433,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,732 : 202,594 = 202,594 : x
  2. Step 2: Convert to fraction form
    94,732/202,594 = 202,594/x
  3. Step 3: Cross multiply
    94,732x = 202,594 × 202,594
  4. Step 4: Simplify right side
    94,732x = 41,044,328,836
  5. Step 5: Solve for x
    x = 41,044,328,836/94,732
  6. Step 6: Final answer
    x = 433,267.84

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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.