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Finding the Third Proportional to 193,346 and 424,776

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Solution

The third proportional to 193,346 and 424,776 is: 933,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,346 : 424,776 = 424,776 : x
  2. Step 2: Convert to fraction form
    193,346/424,776 = 424,776/x
  3. Step 3: Cross multiply
    193,346x = 424,776 × 424,776
  4. Step 4: Simplify right side
    193,346x = 180,434,650,176
  5. Step 5: Solve for x
    x = 180,434,650,176/193,346
  6. Step 6: Final answer
    x = 933,221.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.