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Finding the Third Proportional to 201,482 and 314,476

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Solution

The third proportional to 201,482 and 314,476 is: 490,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,482 : 314,476 = 314,476 : x
  2. Step 2: Convert to fraction form
    201,482/314,476 = 314,476/x
  3. Step 3: Cross multiply
    201,482x = 314,476 × 314,476
  4. Step 4: Simplify right side
    201,482x = 98,895,154,576
  5. Step 5: Solve for x
    x = 98,895,154,576/201,482
  6. Step 6: Final answer
    x = 490,838.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.