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Finding the Third Proportional to 150,570 and 230,553

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Solution

The third proportional to 150,570 and 230,553 is: 353,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,570 : 230,553 = 230,553 : x
  2. Step 2: Convert to fraction form
    150,570/230,553 = 230,553/x
  3. Step 3: Cross multiply
    150,570x = 230,553 × 230,553
  4. Step 4: Simplify right side
    150,570x = 53,154,685,809
  5. Step 5: Solve for x
    x = 53,154,685,809/150,570
  6. Step 6: Final answer
    x = 353,023.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.