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Finding the Third Proportional to 155,528 and 317,824

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Solution

The third proportional to 155,528 and 317,824 is: 649,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,528 : 317,824 = 317,824 : x
  2. Step 2: Convert to fraction form
    155,528/317,824 = 317,824/x
  3. Step 3: Cross multiply
    155,528x = 317,824 × 317,824
  4. Step 4: Simplify right side
    155,528x = 101,012,094,976
  5. Step 5: Solve for x
    x = 101,012,094,976/155,528
  6. Step 6: Final answer
    x = 649,478.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.