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Finding the Third Proportional to 183,208.50 and 290,800.13

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Solution

The third proportional to 183,208.50 and 290,800.13 is: 461,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,208.50 : 290,800.13 = 290,800.13 : x
  2. Step 2: Convert to fraction form
    183,208.50/290,800.13 = 290,800.13/x
  3. Step 3: Cross multiply
    183,208.50x = 290,800.13 × 290,800.13
  4. Step 4: Simplify right side
    183,208.50x = 84,564,712,700.02
  5. Step 5: Solve for x
    x = 84,564,712,700.02/183,208.50
  6. Step 6: Final answer
    x = 461,576.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.