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Finding the Third Proportional to 245,684 and 370,259

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Solution

The third proportional to 245,684 and 370,259 is: 558,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,684 : 370,259 = 370,259 : x
  2. Step 2: Convert to fraction form
    245,684/370,259 = 370,259/x
  3. Step 3: Cross multiply
    245,684x = 370,259 × 370,259
  4. Step 4: Simplify right side
    245,684x = 137,091,727,081
  5. Step 5: Solve for x
    x = 137,091,727,081/245,684
  6. Step 6: Final answer
    x = 558,000.22

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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.