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Finding the Third Proportional to 160,705.13 and 334,710

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Solution

The third proportional to 160,705.13 and 334,710 is: 697,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,705.13 : 334,710 = 334,710 : x
  2. Step 2: Convert to fraction form
    160,705.13/334,710 = 334,710/x
  3. Step 3: Cross multiply
    160,705.13x = 334,710 × 334,710
  4. Step 4: Simplify right side
    160,705.13x = 112,030,784,100
  5. Step 5: Solve for x
    x = 112,030,784,100/160,705.13
  6. Step 6: Final answer
    x = 697,120.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.