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Finding the Third Proportional to 194,480 and 402,440

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Solution

The third proportional to 194,480 and 402,440 is: 832,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,480 : 402,440 = 402,440 : x
  2. Step 2: Convert to fraction form
    194,480/402,440 = 402,440/x
  3. Step 3: Cross multiply
    194,480x = 402,440 × 402,440
  4. Step 4: Simplify right side
    194,480x = 161,957,953,600
  5. Step 5: Solve for x
    x = 161,957,953,600/194,480
  6. Step 6: Final answer
    x = 832,774.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.