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Finding the Third Proportional to 98,780 and 233,038

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Solution

The third proportional to 98,780 and 233,038 is: 549,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,780 : 233,038 = 233,038 : x
  2. Step 2: Convert to fraction form
    98,780/233,038 = 233,038/x
  3. Step 3: Cross multiply
    98,780x = 233,038 × 233,038
  4. Step 4: Simplify right side
    98,780x = 54,306,709,444
  5. Step 5: Solve for x
    x = 54,306,709,444/98,780
  6. Step 6: Final answer
    x = 549,774.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.