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Finding the Third Proportional to 161,853 and 245,030

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Solution

The third proportional to 161,853 and 245,030 is: 370,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,853 : 245,030 = 245,030 : x
  2. Step 2: Convert to fraction form
    161,853/245,030 = 245,030/x
  3. Step 3: Cross multiply
    161,853x = 245,030 × 245,030
  4. Step 4: Simplify right side
    161,853x = 60,039,700,900
  5. Step 5: Solve for x
    x = 60,039,700,900/161,853
  6. Step 6: Final answer
    x = 370,952.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.