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Finding the Third Proportional to 210,259.13 and 314,517.94

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Solution

The third proportional to 210,259.13 and 314,517.94 is: 470,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,259.13 : 314,517.94 = 314,517.94 : x
  2. Step 2: Convert to fraction form
    210,259.13/314,517.94 = 314,517.94/x
  3. Step 3: Cross multiply
    210,259.13x = 314,517.94 × 314,517.94
  4. Step 4: Simplify right side
    210,259.13x = 98,921,533,009.25
  5. Step 5: Solve for x
    x = 98,921,533,009.25/210,259.13
  6. Step 6: Final answer
    x = 470,474.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.