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Finding the Third Proportional to 145,552 and 303,392

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Solution

The third proportional to 145,552 and 303,392 is: 632,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,552 : 303,392 = 303,392 : x
  2. Step 2: Convert to fraction form
    145,552/303,392 = 303,392/x
  3. Step 3: Cross multiply
    145,552x = 303,392 × 303,392
  4. Step 4: Simplify right side
    145,552x = 92,046,705,664
  5. Step 5: Solve for x
    x = 92,046,705,664/145,552
  6. Step 6: Final answer
    x = 632,397.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.