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Finding the Third Proportional to 152,145.84 and 223,911.84

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Solution

The third proportional to 152,145.84 and 223,911.84 is: 329,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,145.84 : 223,911.84 = 223,911.84 : x
  2. Step 2: Convert to fraction form
    152,145.84/223,911.84 = 223,911.84/x
  3. Step 3: Cross multiply
    152,145.84x = 223,911.84 × 223,911.84
  4. Step 4: Simplify right side
    152,145.84x = 50,136,513,771.52
  5. Step 5: Solve for x
    x = 50,136,513,771.52/152,145.84
  6. Step 6: Final answer
    x = 329,529.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.