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Finding the Third Proportional to 243,782 and 365,673

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Solution

The third proportional to 243,782 and 365,673 is: 548,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,782 : 365,673 = 365,673 : x
  2. Step 2: Convert to fraction form
    243,782/365,673 = 365,673/x
  3. Step 3: Cross multiply
    243,782x = 365,673 × 365,673
  4. Step 4: Simplify right side
    243,782x = 133,716,742,929
  5. Step 5: Solve for x
    x = 133,716,742,929/243,782
  6. Step 6: Final answer
    x = 548,509.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.