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Finding the Third Proportional to 183,340.65 and 406,047.30

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Solution

The third proportional to 183,340.65 and 406,047.30 is: 899,279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,340.65 : 406,047.30 = 406,047.30 : x
  2. Step 2: Convert to fraction form
    183,340.65/406,047.30 = 406,047.30/x
  3. Step 3: Cross multiply
    183,340.65x = 406,047.30 × 406,047.30
  4. Step 4: Simplify right side
    183,340.65x = 164,874,413,643.98
  5. Step 5: Solve for x
    x = 164,874,413,643.98/183,340.65
  6. Step 6: Final answer
    x = 899,279.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.