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Finding the Third Proportional to 145,658.50 and 311,558

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Solution

The third proportional to 145,658.50 and 311,558 is: 666,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,658.50 : 311,558 = 311,558 : x
  2. Step 2: Convert to fraction form
    145,658.50/311,558 = 311,558/x
  3. Step 3: Cross multiply
    145,658.50x = 311,558 × 311,558
  4. Step 4: Simplify right side
    145,658.50x = 97,068,387,364
  5. Step 5: Solve for x
    x = 97,068,387,364/145,658.50
  6. Step 6: Final answer
    x = 666,410.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.