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Finding the Third Proportional to 157,376 and 240,852

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Solution

The third proportional to 157,376 and 240,852 is: 368,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,376 : 240,852 = 240,852 : x
  2. Step 2: Convert to fraction form
    157,376/240,852 = 240,852/x
  3. Step 3: Cross multiply
    157,376x = 240,852 × 240,852
  4. Step 4: Simplify right side
    157,376x = 58,009,685,904
  5. Step 5: Solve for x
    x = 58,009,685,904/157,376
  6. Step 6: Final answer
    x = 368,605.67

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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.