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Finding the Third Proportional to 183,528 and 269,226.50

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Solution

The third proportional to 183,528 and 269,226.50 is: 394,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,528 : 269,226.50 = 269,226.50 : x
  2. Step 2: Convert to fraction form
    183,528/269,226.50 = 269,226.50/x
  3. Step 3: Cross multiply
    183,528x = 269,226.50 × 269,226.50
  4. Step 4: Simplify right side
    183,528x = 72,482,908,302.25
  5. Step 5: Solve for x
    x = 72,482,908,302.25/183,528
  6. Step 6: Final answer
    x = 394,941.96

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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.