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Finding the Third Proportional to 184,557 and 402,466

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Solution

The third proportional to 184,557 and 402,466 is: 877,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,557 : 402,466 = 402,466 : x
  2. Step 2: Convert to fraction form
    184,557/402,466 = 402,466/x
  3. Step 3: Cross multiply
    184,557x = 402,466 × 402,466
  4. Step 4: Simplify right side
    184,557x = 161,978,881,156
  5. Step 5: Solve for x
    x = 161,978,881,156/184,557
  6. Step 6: Final answer
    x = 877,663.17

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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.