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Finding the Third Proportional to 262,998 and 372,136.50

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Solution

The third proportional to 262,998 and 372,136.50 is: 526,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,998 : 372,136.50 = 372,136.50 : x
  2. Step 2: Convert to fraction form
    262,998/372,136.50 = 372,136.50/x
  3. Step 3: Cross multiply
    262,998x = 372,136.50 × 372,136.50
  4. Step 4: Simplify right side
    262,998x = 138,485,574,632.25
  5. Step 5: Solve for x
    x = 138,485,574,632.25/262,998
  6. Step 6: Final answer
    x = 526,565.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.