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Finding the Third Proportional to 119,303 and 255,683.50

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Solution

The third proportional to 119,303 and 255,683.50 is: 547,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,303 : 255,683.50 = 255,683.50 : x
  2. Step 2: Convert to fraction form
    119,303/255,683.50 = 255,683.50/x
  3. Step 3: Cross multiply
    119,303x = 255,683.50 × 255,683.50
  4. Step 4: Simplify right side
    119,303x = 65,374,052,172.25
  5. Step 5: Solve for x
    x = 65,374,052,172.25/119,303
  6. Step 6: Final answer
    x = 547,966.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.