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Finding the Third Proportional to 183,352.50 and 406,071

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Solution

The third proportional to 183,352.50 and 406,071 is: 899,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,352.50 : 406,071 = 406,071 : x
  2. Step 2: Convert to fraction form
    183,352.50/406,071 = 406,071/x
  3. Step 3: Cross multiply
    183,352.50x = 406,071 × 406,071
  4. Step 4: Simplify right side
    183,352.50x = 164,893,657,041
  5. Step 5: Solve for x
    x = 164,893,657,041/183,352.50
  6. Step 6: Final answer
    x = 899,325.93

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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.