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Finding the Third Proportional to 155,127 and 226,531.50

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Solution

The third proportional to 155,127 and 226,531.50 is: 330,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,127 : 226,531.50 = 226,531.50 : x
  2. Step 2: Convert to fraction form
    155,127/226,531.50 = 226,531.50/x
  3. Step 3: Cross multiply
    155,127x = 226,531.50 × 226,531.50
  4. Step 4: Simplify right side
    155,127x = 51,316,520,492.25
  5. Step 5: Solve for x
    x = 51,316,520,492.25/155,127
  6. Step 6: Final answer
    x = 330,803.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.