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Finding the Third Proportional to 205,724 and 308,585

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Solution

The third proportional to 205,724 and 308,585 is: 462,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,724 : 308,585 = 308,585 : x
  2. Step 2: Convert to fraction form
    205,724/308,585 = 308,585/x
  3. Step 3: Cross multiply
    205,724x = 308,585 × 308,585
  4. Step 4: Simplify right side
    205,724x = 95,224,702,225
  5. Step 5: Solve for x
    x = 95,224,702,225/205,724
  6. Step 6: Final answer
    x = 462,876.00

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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.