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Finding the Third Proportional to 115,808 and 183,526

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Solution

The third proportional to 115,808 and 183,526 is: 290,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,808 : 183,526 = 183,526 : x
  2. Step 2: Convert to fraction form
    115,808/183,526 = 183,526/x
  3. Step 3: Cross multiply
    115,808x = 183,526 × 183,526
  4. Step 4: Simplify right side
    115,808x = 33,681,792,676
  5. Step 5: Solve for x
    x = 33,681,792,676/115,808
  6. Step 6: Final answer
    x = 290,841.67

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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.