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Finding the Third Proportional to 155,224 and 237,291

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Solution

The third proportional to 155,224 and 237,291 is: 362,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,224 : 237,291 = 237,291 : x
  2. Step 2: Convert to fraction form
    155,224/237,291 = 237,291/x
  3. Step 3: Cross multiply
    155,224x = 237,291 × 237,291
  4. Step 4: Simplify right side
    155,224x = 56,307,018,681
  5. Step 5: Solve for x
    x = 56,307,018,681/155,224
  6. Step 6: Final answer
    x = 362,746.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.