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Finding the Third Proportional to 239,526 and 366,585

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Solution

The third proportional to 239,526 and 366,585 is: 561,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,526 : 366,585 = 366,585 : x
  2. Step 2: Convert to fraction form
    239,526/366,585 = 366,585/x
  3. Step 3: Cross multiply
    239,526x = 366,585 × 366,585
  4. Step 4: Simplify right side
    239,526x = 134,384,562,225
  5. Step 5: Solve for x
    x = 134,384,562,225/239,526
  6. Step 6: Final answer
    x = 561,043.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.