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Finding the Third Proportional to 170,348 and 358,334

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Solution

The third proportional to 170,348 and 358,334 is: 753,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,348 : 358,334 = 358,334 : x
  2. Step 2: Convert to fraction form
    170,348/358,334 = 358,334/x
  3. Step 3: Cross multiply
    170,348x = 358,334 × 358,334
  4. Step 4: Simplify right side
    170,348x = 128,403,255,556
  5. Step 5: Solve for x
    x = 128,403,255,556/170,348
  6. Step 6: Final answer
    x = 753,770.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.