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Finding the Third Proportional to 161,520 and 240,706

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Solution

The third proportional to 161,520 and 240,706 is: 358,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,520 : 240,706 = 240,706 : x
  2. Step 2: Convert to fraction form
    161,520/240,706 = 240,706/x
  3. Step 3: Cross multiply
    161,520x = 240,706 × 240,706
  4. Step 4: Simplify right side
    161,520x = 57,939,378,436
  5. Step 5: Solve for x
    x = 57,939,378,436/161,520
  6. Step 6: Final answer
    x = 358,713.34

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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.