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Finding the Third Proportional to 214,358 and 315,342

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Solution

The third proportional to 214,358 and 315,342 is: 463,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,358 : 315,342 = 315,342 : x
  2. Step 2: Convert to fraction form
    214,358/315,342 = 315,342/x
  3. Step 3: Cross multiply
    214,358x = 315,342 × 315,342
  4. Step 4: Simplify right side
    214,358x = 99,440,576,964
  5. Step 5: Solve for x
    x = 99,440,576,964/214,358
  6. Step 6: Final answer
    x = 463,899.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.