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Finding the Third Proportional to 158,004 and 223,573.50

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Solution

The third proportional to 158,004 and 223,573.50 is: 316,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,004 : 223,573.50 = 223,573.50 : x
  2. Step 2: Convert to fraction form
    158,004/223,573.50 = 223,573.50/x
  3. Step 3: Cross multiply
    158,004x = 223,573.50 × 223,573.50
  4. Step 4: Simplify right side
    158,004x = 49,985,109,902.25
  5. Step 5: Solve for x
    x = 49,985,109,902.25/158,004
  6. Step 6: Final answer
    x = 316,353.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.