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Finding the Third Proportional to 131,610 and 288,210

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Solution

The third proportional to 131,610 and 288,210 is: 631,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,610 : 288,210 = 288,210 : x
  2. Step 2: Convert to fraction form
    131,610/288,210 = 288,210/x
  3. Step 3: Cross multiply
    131,610x = 288,210 × 288,210
  4. Step 4: Simplify right side
    131,610x = 83,065,004,100
  5. Step 5: Solve for x
    x = 83,065,004,100/131,610
  6. Step 6: Final answer
    x = 631,145.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.