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Finding the Third Proportional to 148,835 and 223,583

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Solution

The third proportional to 148,835 and 223,583 is: 335,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,835 : 223,583 = 223,583 : x
  2. Step 2: Convert to fraction form
    148,835/223,583 = 223,583/x
  3. Step 3: Cross multiply
    148,835x = 223,583 × 223,583
  4. Step 4: Simplify right side
    148,835x = 49,989,357,889
  5. Step 5: Solve for x
    x = 49,989,357,889/148,835
  6. Step 6: Final answer
    x = 335,870.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.