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Finding the Third Proportional to 167,913 and 456,232.50

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Solution

The third proportional to 167,913 and 456,232.50 is: 1,239,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,913 : 456,232.50 = 456,232.50 : x
  2. Step 2: Convert to fraction form
    167,913/456,232.50 = 456,232.50/x
  3. Step 3: Cross multiply
    167,913x = 456,232.50 × 456,232.50
  4. Step 4: Simplify right side
    167,913x = 208,148,094,056.25
  5. Step 5: Solve for x
    x = 208,148,094,056.25/167,913
  6. Step 6: Final answer
    x = 1,239,618.70

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.