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Finding the Third Proportional to 134,599.50 and 291,492

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Solution

The third proportional to 134,599.50 and 291,492 is: 631,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,599.50 : 291,492 = 291,492 : x
  2. Step 2: Convert to fraction form
    134,599.50/291,492 = 291,492/x
  3. Step 3: Cross multiply
    134,599.50x = 291,492 × 291,492
  4. Step 4: Simplify right side
    134,599.50x = 84,967,586,064
  5. Step 5: Solve for x
    x = 84,967,586,064/134,599.50
  6. Step 6: Final answer
    x = 631,262.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.