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Finding the Third Proportional to 194,534 and 402,556

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Solution

The third proportional to 194,534 and 402,556 is: 833,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,534 : 402,556 = 402,556 : x
  2. Step 2: Convert to fraction form
    194,534/402,556 = 402,556/x
  3. Step 3: Cross multiply
    194,534x = 402,556 × 402,556
  4. Step 4: Simplify right side
    194,534x = 162,051,333,136
  5. Step 5: Solve for x
    x = 162,051,333,136/194,534
  6. Step 6: Final answer
    x = 833,023.19

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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.