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Finding the Third Proportional to 160,828 and 236,428

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Solution

The third proportional to 160,828 and 236,428 is: 347,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,828 : 236,428 = 236,428 : x
  2. Step 2: Convert to fraction form
    160,828/236,428 = 236,428/x
  3. Step 3: Cross multiply
    160,828x = 236,428 × 236,428
  4. Step 4: Simplify right side
    160,828x = 55,898,199,184
  5. Step 5: Solve for x
    x = 55,898,199,184/160,828
  6. Step 6: Final answer
    x = 347,565.10

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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.