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Finding the Third Proportional to 106,719 and 232,756.50

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Solution

The third proportional to 106,719 and 232,756.50 is: 507,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,719 : 232,756.50 = 232,756.50 : x
  2. Step 2: Convert to fraction form
    106,719/232,756.50 = 232,756.50/x
  3. Step 3: Cross multiply
    106,719x = 232,756.50 × 232,756.50
  4. Step 4: Simplify right side
    106,719x = 54,175,588,292.25
  5. Step 5: Solve for x
    x = 54,175,588,292.25/106,719
  6. Step 6: Final answer
    x = 507,647.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.