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Finding the Third Proportional to 146,772 and 309,307.50

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Solution

The third proportional to 146,772 and 309,307.50 is: 651,835.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,772 : 309,307.50 = 309,307.50 : x
  2. Step 2: Convert to fraction form
    146,772/309,307.50 = 309,307.50/x
  3. Step 3: Cross multiply
    146,772x = 309,307.50 × 309,307.50
  4. Step 4: Simplify right side
    146,772x = 95,671,129,556.25
  5. Step 5: Solve for x
    x = 95,671,129,556.25/146,772
  6. Step 6: Final answer
    x = 651,835.02

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.