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Finding the Third Proportional to 97,780 and 235,478.50

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Solution

The third proportional to 97,780 and 235,478.50 is: 567,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,780 : 235,478.50 = 235,478.50 : x
  2. Step 2: Convert to fraction form
    97,780/235,478.50 = 235,478.50/x
  3. Step 3: Cross multiply
    97,780x = 235,478.50 × 235,478.50
  4. Step 4: Simplify right side
    97,780x = 55,450,123,962.25
  5. Step 5: Solve for x
    x = 55,450,123,962.25/97,780
  6. Step 6: Final answer
    x = 567,090.65

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.