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Finding the Third Proportional to 155,526 and 317,820

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Solution

The third proportional to 155,526 and 317,820 is: 649,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,526 : 317,820 = 317,820 : x
  2. Step 2: Convert to fraction form
    155,526/317,820 = 317,820/x
  3. Step 3: Cross multiply
    155,526x = 317,820 × 317,820
  4. Step 4: Simplify right side
    155,526x = 101,009,552,400
  5. Step 5: Solve for x
    x = 101,009,552,400/155,526
  6. Step 6: Final answer
    x = 649,470.52

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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.