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Finding the Third Proportional to 245,972 and 370,678

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Solution

The third proportional to 245,972 and 370,678 is: 558,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,972 : 370,678 = 370,678 : x
  2. Step 2: Convert to fraction form
    245,972/370,678 = 370,678/x
  3. Step 3: Cross multiply
    245,972x = 370,678 × 370,678
  4. Step 4: Simplify right side
    245,972x = 137,402,179,684
  5. Step 5: Solve for x
    x = 137,402,179,684/245,972
  6. Step 6: Final answer
    x = 558,609.03

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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.