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Finding the Third Proportional to 134,982 and 312,492.75

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Solution

The third proportional to 134,982 and 312,492.75 is: 723,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,982 : 312,492.75 = 312,492.75 : x
  2. Step 2: Convert to fraction form
    134,982/312,492.75 = 312,492.75/x
  3. Step 3: Cross multiply
    134,982x = 312,492.75 × 312,492.75
  4. Step 4: Simplify right side
    134,982x = 97,651,718,802.56
  5. Step 5: Solve for x
    x = 97,651,718,802.56/134,982
  6. Step 6: Final answer
    x = 723,442.52

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.