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Finding the Third Proportional to 147,087 and 317,497.50

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Solution

The third proportional to 147,087 and 317,497.50 is: 685,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,087 : 317,497.50 = 317,497.50 : x
  2. Step 2: Convert to fraction form
    147,087/317,497.50 = 317,497.50/x
  3. Step 3: Cross multiply
    147,087x = 317,497.50 × 317,497.50
  4. Step 4: Simplify right side
    147,087x = 100,804,662,506.25
  5. Step 5: Solve for x
    x = 100,804,662,506.25/147,087
  6. Step 6: Final answer
    x = 685,340.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.