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Finding the Third Proportional to 171,712 and 376,228

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Solution

The third proportional to 171,712 and 376,228 is: 824,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,712 : 376,228 = 376,228 : x
  2. Step 2: Convert to fraction form
    171,712/376,228 = 376,228/x
  3. Step 3: Cross multiply
    171,712x = 376,228 × 376,228
  4. Step 4: Simplify right side
    171,712x = 141,547,507,984
  5. Step 5: Solve for x
    x = 141,547,507,984/171,712
  6. Step 6: Final answer
    x = 824,330.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.