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Finding the Third Proportional to 116,700 and 254,521.50

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Solution

The third proportional to 116,700 and 254,521.50 is: 555,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,700 : 254,521.50 = 254,521.50 : x
  2. Step 2: Convert to fraction form
    116,700/254,521.50 = 254,521.50/x
  3. Step 3: Cross multiply
    116,700x = 254,521.50 × 254,521.50
  4. Step 4: Simplify right side
    116,700x = 64,781,193,962.25
  5. Step 5: Solve for x
    x = 64,781,193,962.25/116,700
  6. Step 6: Final answer
    x = 555,108.77

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