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Finding the Third Proportional to 164,475 and 246,064.50

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Solution

The third proportional to 164,475 and 246,064.50 is: 368,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,475 : 246,064.50 = 246,064.50 : x
  2. Step 2: Convert to fraction form
    164,475/246,064.50 = 246,064.50/x
  3. Step 3: Cross multiply
    164,475x = 246,064.50 × 246,064.50
  4. Step 4: Simplify right side
    164,475x = 60,547,738,160.25
  5. Step 5: Solve for x
    x = 60,547,738,160.25/164,475
  6. Step 6: Final answer
    x = 368,127.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.