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Finding the Third Proportional to 145,395 and 317,792.25

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Solution

The third proportional to 145,395 and 317,792.25 is: 694,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,395 : 317,792.25 = 317,792.25 : x
  2. Step 2: Convert to fraction form
    145,395/317,792.25 = 317,792.25/x
  3. Step 3: Cross multiply
    145,395x = 317,792.25 × 317,792.25
  4. Step 4: Simplify right side
    145,395x = 100,991,914,160.06
  5. Step 5: Solve for x
    x = 100,991,914,160.06/145,395
  6. Step 6: Final answer
    x = 694,603.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.