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Finding the Third Proportional to 194,382 and 317,409.75

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Solution

The third proportional to 194,382 and 317,409.75 is: 518,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,382 : 317,409.75 = 317,409.75 : x
  2. Step 2: Convert to fraction form
    194,382/317,409.75 = 317,409.75/x
  3. Step 3: Cross multiply
    194,382x = 317,409.75 × 317,409.75
  4. Step 4: Simplify right side
    194,382x = 100,748,949,395.06
  5. Step 5: Solve for x
    x = 100,748,949,395.06/194,382
  6. Step 6: Final answer
    x = 518,303.90

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.