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Finding the Third Proportional to 158,526 and 215,913

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Solution

The third proportional to 158,526 and 215,913 is: 294,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,526 : 215,913 = 215,913 : x
  2. Step 2: Convert to fraction form
    158,526/215,913 = 215,913/x
  3. Step 3: Cross multiply
    158,526x = 215,913 × 215,913
  4. Step 4: Simplify right side
    158,526x = 46,618,423,569
  5. Step 5: Solve for x
    x = 46,618,423,569/158,526
  6. Step 6: Final answer
    x = 294,074.31

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.