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Finding the Third Proportional to 145,852 and 301,826

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Solution

The third proportional to 145,852 and 301,826 is: 624,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,852 : 301,826 = 301,826 : x
  2. Step 2: Convert to fraction form
    145,852/301,826 = 301,826/x
  3. Step 3: Cross multiply
    145,852x = 301,826 × 301,826
  4. Step 4: Simplify right side
    145,852x = 91,098,934,276
  5. Step 5: Solve for x
    x = 91,098,934,276/145,852
  6. Step 6: Final answer
    x = 624,598.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.