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Finding the Third Proportional to 107,038.50 and 235,263

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Solution

The third proportional to 107,038.50 and 235,263 is: 517,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,038.50 : 235,263 = 235,263 : x
  2. Step 2: Convert to fraction form
    107,038.50/235,263 = 235,263/x
  3. Step 3: Cross multiply
    107,038.50x = 235,263 × 235,263
  4. Step 4: Simplify right side
    107,038.50x = 55,348,679,169
  5. Step 5: Solve for x
    x = 55,348,679,169/107,038.50
  6. Step 6: Final answer
    x = 517,091.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.