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Finding the Third Proportional to 145,173 and 341,566.50

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Solution

The third proportional to 145,173 and 341,566.50 is: 803,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,173 : 341,566.50 = 341,566.50 : x
  2. Step 2: Convert to fraction form
    145,173/341,566.50 = 341,566.50/x
  3. Step 3: Cross multiply
    145,173x = 341,566.50 × 341,566.50
  4. Step 4: Simplify right side
    145,173x = 116,667,673,922.25
  5. Step 5: Solve for x
    x = 116,667,673,922.25/145,173
  6. Step 6: Final answer
    x = 803,645.82

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.