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Finding the Third Proportional to 152,124.50 and 236,483.75

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Solution

The third proportional to 152,124.50 and 236,483.75 is: 367,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,124.50 : 236,483.75 = 236,483.75 : x
  2. Step 2: Convert to fraction form
    152,124.50/236,483.75 = 236,483.75/x
  3. Step 3: Cross multiply
    152,124.50x = 236,483.75 × 236,483.75
  4. Step 4: Simplify right side
    152,124.50x = 55,924,564,014.06
  5. Step 5: Solve for x
    x = 55,924,564,014.06/152,124.50
  6. Step 6: Final answer
    x = 367,623.65

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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.