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Finding the Third Proportional to 148,528.50 and 223,502

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Solution

The third proportional to 148,528.50 and 223,502 is: 336,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,528.50 : 223,502 = 223,502 : x
  2. Step 2: Convert to fraction form
    148,528.50/223,502 = 223,502/x
  3. Step 3: Cross multiply
    148,528.50x = 223,502 × 223,502
  4. Step 4: Simplify right side
    148,528.50x = 49,953,144,004
  5. Step 5: Solve for x
    x = 49,953,144,004/148,528.50
  6. Step 6: Final answer
    x = 336,320.26

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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.