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Finding the Third Proportional to 145,432 and 209,464

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Solution

The third proportional to 145,432 and 209,464 is: 301,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,432 : 209,464 = 209,464 : x
  2. Step 2: Convert to fraction form
    145,432/209,464 = 209,464/x
  3. Step 3: Cross multiply
    145,432x = 209,464 × 209,464
  4. Step 4: Simplify right side
    145,432x = 43,875,167,296
  5. Step 5: Solve for x
    x = 43,875,167,296/145,432
  6. Step 6: Final answer
    x = 301,688.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.