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Finding the Third Proportional to 160,947 and 236,490

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Solution

The third proportional to 160,947 and 236,490 is: 347,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,947 : 236,490 = 236,490 : x
  2. Step 2: Convert to fraction form
    160,947/236,490 = 236,490/x
  3. Step 3: Cross multiply
    160,947x = 236,490 × 236,490
  4. Step 4: Simplify right side
    160,947x = 55,927,520,100
  5. Step 5: Solve for x
    x = 55,927,520,100/160,947
  6. Step 6: Final answer
    x = 347,490.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.