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Finding the Third Proportional to 236,305 and 358,826.50

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Solution

The third proportional to 236,305 and 358,826.50 is: 544,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,305 : 358,826.50 = 358,826.50 : x
  2. Step 2: Convert to fraction form
    236,305/358,826.50 = 358,826.50/x
  3. Step 3: Cross multiply
    236,305x = 358,826.50 × 358,826.50
  4. Step 4: Simplify right side
    236,305x = 128,756,457,102.25
  5. Step 5: Solve for x
    x = 128,756,457,102.25/236,305
  6. Step 6: Final answer
    x = 544,874.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.