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Finding the Third Proportional to 233,700 and 508,345.50

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Solution

The third proportional to 233,700 and 508,345.50 is: 1,105,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,700 : 508,345.50 = 508,345.50 : x
  2. Step 2: Convert to fraction form
    233,700/508,345.50 = 508,345.50/x
  3. Step 3: Cross multiply
    233,700x = 508,345.50 × 508,345.50
  4. Step 4: Simplify right side
    233,700x = 258,415,147,370.25
  5. Step 5: Solve for x
    x = 258,415,147,370.25/233,700
  6. Step 6: Final answer
    x = 1,105,755.87

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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.