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Finding the Third Proportional to 154,559 and 245,202

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Solution

The third proportional to 154,559 and 245,202 is: 389,003.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,559 : 245,202 = 245,202 : x
  2. Step 2: Convert to fraction form
    154,559/245,202 = 245,202/x
  3. Step 3: Cross multiply
    154,559x = 245,202 × 245,202
  4. Step 4: Simplify right side
    154,559x = 60,124,020,804
  5. Step 5: Solve for x
    x = 60,124,020,804/154,559
  6. Step 6: Final answer
    x = 389,003.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.