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Finding the Third Proportional to 183,060 and 377,415

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Solution

The third proportional to 183,060 and 377,415 is: 778,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,060 : 377,415 = 377,415 : x
  2. Step 2: Convert to fraction form
    183,060/377,415 = 377,415/x
  3. Step 3: Cross multiply
    183,060x = 377,415 × 377,415
  4. Step 4: Simplify right side
    183,060x = 142,442,082,225
  5. Step 5: Solve for x
    x = 142,442,082,225/183,060
  6. Step 6: Final answer
    x = 778,116.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.