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Finding the Third Proportional to 160,521 and 238,470

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Solution

The third proportional to 160,521 and 238,470 is: 354,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,521 : 238,470 = 238,470 : x
  2. Step 2: Convert to fraction form
    160,521/238,470 = 238,470/x
  3. Step 3: Cross multiply
    160,521x = 238,470 × 238,470
  4. Step 4: Simplify right side
    160,521x = 56,867,940,900
  5. Step 5: Solve for x
    x = 56,867,940,900/160,521
  6. Step 6: Final answer
    x = 354,271.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.