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Finding the Third Proportional to 157,875 and 240,750

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Solution

The third proportional to 157,875 and 240,750 is: 367,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,875 : 240,750 = 240,750 : x
  2. Step 2: Convert to fraction form
    157,875/240,750 = 240,750/x
  3. Step 3: Cross multiply
    157,875x = 240,750 × 240,750
  4. Step 4: Simplify right side
    157,875x = 57,960,562,500
  5. Step 5: Solve for x
    x = 57,960,562,500/157,875
  6. Step 6: Final answer
    x = 367,129.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.