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Finding the Third Proportional to 143,038.13 and 210,180.94

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Solution

The third proportional to 143,038.13 and 210,180.94 is: 308,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,038.13 : 210,180.94 = 210,180.94 : x
  2. Step 2: Convert to fraction form
    143,038.13/210,180.94 = 210,180.94/x
  3. Step 3: Cross multiply
    143,038.13x = 210,180.94 × 210,180.94
  4. Step 4: Simplify right side
    143,038.13x = 44,176,026,488.38
  5. Step 5: Solve for x
    x = 44,176,026,488.38/143,038.13
  6. Step 6: Final answer
    x = 308,840.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.