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Finding the Third Proportional to 141,148 and 201,210

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Solution

The third proportional to 141,148 and 201,210 is: 286,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,148 : 201,210 = 201,210 : x
  2. Step 2: Convert to fraction form
    141,148/201,210 = 201,210/x
  3. Step 3: Cross multiply
    141,148x = 201,210 × 201,210
  4. Step 4: Simplify right side
    141,148x = 40,485,464,100
  5. Step 5: Solve for x
    x = 40,485,464,100/141,148
  6. Step 6: Final answer
    x = 286,829.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.