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Finding the Third Proportional to 173,502 and 378,537

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Solution

The third proportional to 173,502 and 378,537 is: 825,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,502 : 378,537 = 378,537 : x
  2. Step 2: Convert to fraction form
    173,502/378,537 = 378,537/x
  3. Step 3: Cross multiply
    173,502x = 378,537 × 378,537
  4. Step 4: Simplify right side
    173,502x = 143,290,260,369
  5. Step 5: Solve for x
    x = 143,290,260,369/173,502
  6. Step 6: Final answer
    x = 825,870.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.