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Finding the Third Proportional to 147,436 and 346,556

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Solution

The third proportional to 147,436 and 346,556 is: 814,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,436 : 346,556 = 346,556 : x
  2. Step 2: Convert to fraction form
    147,436/346,556 = 346,556/x
  3. Step 3: Cross multiply
    147,436x = 346,556 × 346,556
  4. Step 4: Simplify right side
    147,436x = 120,101,061,136
  5. Step 5: Solve for x
    x = 120,101,061,136/147,436
  6. Step 6: Final answer
    x = 814,597.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.