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Finding the Third Proportional to 253,521 and 368,370

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Solution

The third proportional to 253,521 and 368,370 is: 535,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,521 : 368,370 = 368,370 : x
  2. Step 2: Convert to fraction form
    253,521/368,370 = 368,370/x
  3. Step 3: Cross multiply
    253,521x = 368,370 × 368,370
  4. Step 4: Simplify right side
    253,521x = 135,696,456,900
  5. Step 5: Solve for x
    x = 135,696,456,900/253,521
  6. Step 6: Final answer
    x = 535,247.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.