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Finding the Third Proportional to 171,459 and 376,047

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Solution

The third proportional to 171,459 and 376,047 is: 824,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,459 : 376,047 = 376,047 : x
  2. Step 2: Convert to fraction form
    171,459/376,047 = 376,047/x
  3. Step 3: Cross multiply
    171,459x = 376,047 × 376,047
  4. Step 4: Simplify right side
    171,459x = 141,411,346,209
  5. Step 5: Solve for x
    x = 141,411,346,209/171,459
  6. Step 6: Final answer
    x = 824,753.13

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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.