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Finding the Third Proportional to 107,352 and 233,157

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Solution

The third proportional to 107,352 and 233,157 is: 506,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,352 : 233,157 = 233,157 : x
  2. Step 2: Convert to fraction form
    107,352/233,157 = 233,157/x
  3. Step 3: Cross multiply
    107,352x = 233,157 × 233,157
  4. Step 4: Simplify right side
    107,352x = 54,362,186,649
  5. Step 5: Solve for x
    x = 54,362,186,649/107,352
  6. Step 6: Final answer
    x = 506,391.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.