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Finding the Third Proportional to 184,560 and 402,470

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Solution

The third proportional to 184,560 and 402,470 is: 877,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,560 : 402,470 = 402,470 : x
  2. Step 2: Convert to fraction form
    184,560/402,470 = 402,470/x
  3. Step 3: Cross multiply
    184,560x = 402,470 × 402,470
  4. Step 4: Simplify right side
    184,560x = 161,982,100,900
  5. Step 5: Solve for x
    x = 161,982,100,900/184,560
  6. Step 6: Final answer
    x = 877,666.35

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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.