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Finding the Third Proportional to 143,710.13 and 296,644.13

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Solution

The third proportional to 143,710.13 and 296,644.13 is: 612,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,710.13 : 296,644.13 = 296,644.13 : x
  2. Step 2: Convert to fraction form
    143,710.13/296,644.13 = 296,644.13/x
  3. Step 3: Cross multiply
    143,710.13x = 296,644.13 × 296,644.13
  4. Step 4: Simplify right side
    143,710.13x = 87,997,736,897.02
  5. Step 5: Solve for x
    x = 87,997,736,897.02/143,710.13
  6. Step 6: Final answer
    x = 612,328.02

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.