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Finding the Third Proportional to 202,423 and 302,521

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Solution

The third proportional to 202,423 and 302,521 is: 452,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,423 : 302,521 = 302,521 : x
  2. Step 2: Convert to fraction form
    202,423/302,521 = 302,521/x
  3. Step 3: Cross multiply
    202,423x = 302,521 × 302,521
  4. Step 4: Simplify right side
    202,423x = 91,518,955,441
  5. Step 5: Solve for x
    x = 91,518,955,441/202,423
  6. Step 6: Final answer
    x = 452,117.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.