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Finding the Third Proportional to 98,558 and 154,430.50

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Solution

The third proportional to 98,558 and 154,430.50 is: 241,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,558 : 154,430.50 = 154,430.50 : x
  2. Step 2: Convert to fraction form
    98,558/154,430.50 = 154,430.50/x
  3. Step 3: Cross multiply
    98,558x = 154,430.50 × 154,430.50
  4. Step 4: Simplify right side
    98,558x = 23,848,779,330.25
  5. Step 5: Solve for x
    x = 23,848,779,330.25/98,558
  6. Step 6: Final answer
    x = 241,977.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.