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Finding the Third Proportional to 233,526 and 362,337

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Solution

The third proportional to 233,526 and 362,337 is: 562,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,526 : 362,337 = 362,337 : x
  2. Step 2: Convert to fraction form
    233,526/362,337 = 362,337/x
  3. Step 3: Cross multiply
    233,526x = 362,337 × 362,337
  4. Step 4: Simplify right side
    233,526x = 131,288,101,569
  5. Step 5: Solve for x
    x = 131,288,101,569/233,526
  6. Step 6: Final answer
    x = 562,199.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.