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Finding the Third Proportional to 115,817 and 183,539.50

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Solution

The third proportional to 115,817 and 183,539.50 is: 290,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,817 : 183,539.50 = 183,539.50 : x
  2. Step 2: Convert to fraction form
    115,817/183,539.50 = 183,539.50/x
  3. Step 3: Cross multiply
    115,817x = 183,539.50 × 183,539.50
  4. Step 4: Simplify right side
    115,817x = 33,686,748,060.25
  5. Step 5: Solve for x
    x = 33,686,748,060.25/115,817
  6. Step 6: Final answer
    x = 290,861.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.