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Finding the Third Proportional to 155,796 and 233,430

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Solution

The third proportional to 155,796 and 233,430 is: 349,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,796 : 233,430 = 233,430 : x
  2. Step 2: Convert to fraction form
    155,796/233,430 = 233,430/x
  3. Step 3: Cross multiply
    155,796x = 233,430 × 233,430
  4. Step 4: Simplify right side
    155,796x = 54,489,564,900
  5. Step 5: Solve for x
    x = 54,489,564,900/155,796
  6. Step 6: Final answer
    x = 349,749.45

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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.