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Finding the Third Proportional to 163,492 and 349,160

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Solution

The third proportional to 163,492 and 349,160 is: 745,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,492 : 349,160 = 349,160 : x
  2. Step 2: Convert to fraction form
    163,492/349,160 = 349,160/x
  3. Step 3: Cross multiply
    163,492x = 349,160 × 349,160
  4. Step 4: Simplify right side
    163,492x = 121,912,705,600
  5. Step 5: Solve for x
    x = 121,912,705,600/163,492
  6. Step 6: Final answer
    x = 745,679.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.