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Finding the Third Proportional to 237,255 and 362,929.50

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Solution

The third proportional to 237,255 and 362,929.50 is: 555,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,255 : 362,929.50 = 362,929.50 : x
  2. Step 2: Convert to fraction form
    237,255/362,929.50 = 362,929.50/x
  3. Step 3: Cross multiply
    237,255x = 362,929.50 × 362,929.50
  4. Step 4: Simplify right side
    237,255x = 131,717,821,970.25
  5. Step 5: Solve for x
    x = 131,717,821,970.25/237,255
  6. Step 6: Final answer
    x = 555,174.06

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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.