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Finding the Third Proportional to 143,011.50 and 210,386.25

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Solution

The third proportional to 143,011.50 and 210,386.25 is: 309,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,011.50 : 210,386.25 = 210,386.25 : x
  2. Step 2: Convert to fraction form
    143,011.50/210,386.25 = 210,386.25/x
  3. Step 3: Cross multiply
    143,011.50x = 210,386.25 × 210,386.25
  4. Step 4: Simplify right side
    143,011.50x = 44,262,374,189.06
  5. Step 5: Solve for x
    x = 44,262,374,189.06/143,011.50
  6. Step 6: Final answer
    x = 309,502.20

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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.