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Finding the Third Proportional to 232,887 and 360,712.50

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Solution

The third proportional to 232,887 and 360,712.50 is: 558,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,887 : 360,712.50 = 360,712.50 : x
  2. Step 2: Convert to fraction form
    232,887/360,712.50 = 360,712.50/x
  3. Step 3: Cross multiply
    232,887x = 360,712.50 × 360,712.50
  4. Step 4: Simplify right side
    232,887x = 130,113,507,656.25
  5. Step 5: Solve for x
    x = 130,113,507,656.25/232,887
  6. Step 6: Final answer
    x = 558,698.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.