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Finding the Third Proportional to 193,153.50 and 299,076

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Solution

The third proportional to 193,153.50 and 299,076 is: 463,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,153.50 : 299,076 = 299,076 : x
  2. Step 2: Convert to fraction form
    193,153.50/299,076 = 299,076/x
  3. Step 3: Cross multiply
    193,153.50x = 299,076 × 299,076
  4. Step 4: Simplify right side
    193,153.50x = 89,446,453,776
  5. Step 5: Solve for x
    x = 89,446,453,776/193,153.50
  6. Step 6: Final answer
    x = 463,084.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.