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Finding the Third Proportional to 160,506 and 245,034

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Solution

The third proportional to 160,506 and 245,034 is: 374,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,506 : 245,034 = 245,034 : x
  2. Step 2: Convert to fraction form
    160,506/245,034 = 245,034/x
  3. Step 3: Cross multiply
    160,506x = 245,034 × 245,034
  4. Step 4: Simplify right side
    160,506x = 60,041,661,156
  5. Step 5: Solve for x
    x = 60,041,661,156/160,506
  6. Step 6: Final answer
    x = 374,077.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.