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Finding the Third Proportional to 158,925 and 240,007.50

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Solution

The third proportional to 158,925 and 240,007.50 is: 362,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,925 : 240,007.50 = 240,007.50 : x
  2. Step 2: Convert to fraction form
    158,925/240,007.50 = 240,007.50/x
  3. Step 3: Cross multiply
    158,925x = 240,007.50 × 240,007.50
  4. Step 4: Simplify right side
    158,925x = 57,603,600,056.25
  5. Step 5: Solve for x
    x = 57,603,600,056.25/158,925
  6. Step 6: Final answer
    x = 362,457.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.