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Finding the Third Proportional to 184,430 and 402,364

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Solution

The third proportional to 184,430 and 402,364 is: 877,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,430 : 402,364 = 402,364 : x
  2. Step 2: Convert to fraction form
    184,430/402,364 = 402,364/x
  3. Step 3: Cross multiply
    184,430x = 402,364 × 402,364
  4. Step 4: Simplify right side
    184,430x = 161,896,788,496
  5. Step 5: Solve for x
    x = 161,896,788,496/184,430
  6. Step 6: Final answer
    x = 877,822.42

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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.