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Finding the Third Proportional to 144,055.13 and 210,545.16

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Solution

The third proportional to 144,055.13 and 210,545.16 is: 307,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,055.13 : 210,545.16 = 210,545.16 : x
  2. Step 2: Convert to fraction form
    144,055.13/210,545.16 = 210,545.16/x
  3. Step 3: Cross multiply
    144,055.13x = 210,545.16 × 210,545.16
  4. Step 4: Simplify right side
    144,055.13x = 44,329,262,820.34
  5. Step 5: Solve for x
    x = 44,329,262,820.34/144,055.13
  6. Step 6: Final answer
    x = 307,724.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.