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Finding the Third Proportional to 170,222 and 370,294

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Solution

The third proportional to 170,222 and 370,294 is: 805,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,222 : 370,294 = 370,294 : x
  2. Step 2: Convert to fraction form
    170,222/370,294 = 370,294/x
  3. Step 3: Cross multiply
    170,222x = 370,294 × 370,294
  4. Step 4: Simplify right side
    170,222x = 137,117,646,436
  5. Step 5: Solve for x
    x = 137,117,646,436/170,222
  6. Step 6: Final answer
    x = 805,522.47

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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.