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Finding the Third Proportional to 145,229 and 314,583

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Solution

The third proportional to 145,229 and 314,583 is: 681,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,229 : 314,583 = 314,583 : x
  2. Step 2: Convert to fraction form
    145,229/314,583 = 314,583/x
  3. Step 3: Cross multiply
    145,229x = 314,583 × 314,583
  4. Step 4: Simplify right side
    145,229x = 98,962,463,889
  5. Step 5: Solve for x
    x = 98,962,463,889/145,229
  6. Step 6: Final answer
    x = 681,423.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.