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Finding the Third Proportional to 171,756 and 348,363

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Solution

The third proportional to 171,756 and 348,363 is: 706,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,756 : 348,363 = 348,363 : x
  2. Step 2: Convert to fraction form
    171,756/348,363 = 348,363/x
  3. Step 3: Cross multiply
    171,756x = 348,363 × 348,363
  4. Step 4: Simplify right side
    171,756x = 121,356,779,769
  5. Step 5: Solve for x
    x = 121,356,779,769/171,756
  6. Step 6: Final answer
    x = 706,565.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.