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Finding the Third Proportional to 145,658.25 and 317,795.63

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Solution

The third proportional to 145,658.25 and 317,795.63 is: 693,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,658.25 : 317,795.63 = 317,795.63 : x
  2. Step 2: Convert to fraction form
    145,658.25/317,795.63 = 317,795.63/x
  3. Step 3: Cross multiply
    145,658.25x = 317,795.63 × 317,795.63
  4. Step 4: Simplify right side
    145,658.25x = 100,994,059,269.14
  5. Step 5: Solve for x
    x = 100,994,059,269.14/145,658.25
  6. Step 6: Final answer
    x = 693,363.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.