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Finding the Third Proportional to 115,823 and 183,548.50

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Solution

The third proportional to 115,823 and 183,548.50 is: 290,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,823 : 183,548.50 = 183,548.50 : x
  2. Step 2: Convert to fraction form
    115,823/183,548.50 = 183,548.50/x
  3. Step 3: Cross multiply
    115,823x = 183,548.50 × 183,548.50
  4. Step 4: Simplify right side
    115,823x = 33,690,051,852.25
  5. Step 5: Solve for x
    x = 33,690,051,852.25/115,823
  6. Step 6: Final answer
    x = 290,875.32

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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.