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Finding the Third Proportional to 170,421 and 357,972

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Solution

The third proportional to 170,421 and 357,972 is: 751,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,421 : 357,972 = 357,972 : x
  2. Step 2: Convert to fraction form
    170,421/357,972 = 357,972/x
  3. Step 3: Cross multiply
    170,421x = 357,972 × 357,972
  4. Step 4: Simplify right side
    170,421x = 128,143,952,784
  5. Step 5: Solve for x
    x = 128,143,952,784/170,421
  6. Step 6: Final answer
    x = 751,925.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.