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Finding the Third Proportional to 116,310 and 174,460.50

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Solution

The third proportional to 116,310 and 174,460.50 is: 261,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,310 : 174,460.50 = 174,460.50 : x
  2. Step 2: Convert to fraction form
    116,310/174,460.50 = 174,460.50/x
  3. Step 3: Cross multiply
    116,310x = 174,460.50 × 174,460.50
  4. Step 4: Simplify right side
    116,310x = 30,436,466,060.25
  5. Step 5: Solve for x
    x = 30,436,466,060.25/116,310
  6. Step 6: Final answer
    x = 261,684.00

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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.