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Finding the Third Proportional to 145,370 and 311,476

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Solution

The third proportional to 145,370 and 311,476 is: 667,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,370 : 311,476 = 311,476 : x
  2. Step 2: Convert to fraction form
    145,370/311,476 = 311,476/x
  3. Step 3: Cross multiply
    145,370x = 311,476 × 311,476
  4. Step 4: Simplify right side
    145,370x = 97,017,298,576
  5. Step 5: Solve for x
    x = 97,017,298,576/145,370
  6. Step 6: Final answer
    x = 667,381.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.