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Finding the Third Proportional to 161,519 and 240,702

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Solution

The third proportional to 161,519 and 240,702 is: 358,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,519 : 240,702 = 240,702 : x
  2. Step 2: Convert to fraction form
    161,519/240,702 = 240,702/x
  3. Step 3: Cross multiply
    161,519x = 240,702 × 240,702
  4. Step 4: Simplify right side
    161,519x = 57,937,452,804
  5. Step 5: Solve for x
    x = 57,937,452,804/161,519
  6. Step 6: Final answer
    x = 358,703.64

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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.