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Finding the Third Proportional to 133,352 and 314,788

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Solution

The third proportional to 133,352 and 314,788 is: 743,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,352 : 314,788 = 314,788 : x
  2. Step 2: Convert to fraction form
    133,352/314,788 = 314,788/x
  3. Step 3: Cross multiply
    133,352x = 314,788 × 314,788
  4. Step 4: Simplify right side
    133,352x = 99,091,484,944
  5. Step 5: Solve for x
    x = 99,091,484,944/133,352
  6. Step 6: Final answer
    x = 743,082.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.