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Finding the Third Proportional to 245,462 and 360,098

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Solution

The third proportional to 245,462 and 360,098 is: 528,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,462 : 360,098 = 360,098 : x
  2. Step 2: Convert to fraction form
    245,462/360,098 = 360,098/x
  3. Step 3: Cross multiply
    245,462x = 360,098 × 360,098
  4. Step 4: Simplify right side
    245,462x = 129,670,569,604
  5. Step 5: Solve for x
    x = 129,670,569,604/245,462
  6. Step 6: Final answer
    x = 528,271.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.