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Finding the Third Proportional to 236,457 and 357,483.50

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Solution

The third proportional to 236,457 and 357,483.50 is: 540,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,457 : 357,483.50 = 357,483.50 : x
  2. Step 2: Convert to fraction form
    236,457/357,483.50 = 357,483.50/x
  3. Step 3: Cross multiply
    236,457x = 357,483.50 × 357,483.50
  4. Step 4: Simplify right side
    236,457x = 127,794,452,772.25
  5. Step 5: Solve for x
    x = 127,794,452,772.25/236,457
  6. Step 6: Final answer
    x = 540,455.36

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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.