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Finding the Third Proportional to 170,506 and 370,988

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Solution

The third proportional to 170,506 and 370,988 is: 807,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,506 : 370,988 = 370,988 : x
  2. Step 2: Convert to fraction form
    170,506/370,988 = 370,988/x
  3. Step 3: Cross multiply
    170,506x = 370,988 × 370,988
  4. Step 4: Simplify right side
    170,506x = 137,632,096,144
  5. Step 5: Solve for x
    x = 137,632,096,144/170,506
  6. Step 6: Final answer
    x = 807,197.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.