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Finding the Third Proportional to 201,360 and 470,280

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Solution

The third proportional to 201,360 and 470,280 is: 1,098,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,360 : 470,280 = 470,280 : x
  2. Step 2: Convert to fraction form
    201,360/470,280 = 470,280/x
  3. Step 3: Cross multiply
    201,360x = 470,280 × 470,280
  4. Step 4: Simplify right side
    201,360x = 221,163,278,400
  5. Step 5: Solve for x
    x = 221,163,278,400/201,360
  6. Step 6: Final answer
    x = 1,098,347.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.