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Finding the Third Proportional to 147,160.50 and 317,841

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Solution

The third proportional to 147,160.50 and 317,841 is: 686,481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,160.50 : 317,841 = 317,841 : x
  2. Step 2: Convert to fraction form
    147,160.50/317,841 = 317,841/x
  3. Step 3: Cross multiply
    147,160.50x = 317,841 × 317,841
  4. Step 4: Simplify right side
    147,160.50x = 101,022,901,281
  5. Step 5: Solve for x
    x = 101,022,901,281/147,160.50
  6. Step 6: Final answer
    x = 686,481.10

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Why These Related Problems?

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