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Finding the Third Proportional to 153,543 and 236,875.50

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Solution

The third proportional to 153,543 and 236,875.50 is: 365,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,543 : 236,875.50 = 236,875.50 : x
  2. Step 2: Convert to fraction form
    153,543/236,875.50 = 236,875.50/x
  3. Step 3: Cross multiply
    153,543x = 236,875.50 × 236,875.50
  4. Step 4: Simplify right side
    153,543x = 56,110,002,500.25
  5. Step 5: Solve for x
    x = 56,110,002,500.25/153,543
  6. Step 6: Final answer
    x = 365,435.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.