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Finding the Third Proportional to 157,004 and 340,072

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Solution

The third proportional to 157,004 and 340,072 is: 736,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,004 : 340,072 = 340,072 : x
  2. Step 2: Convert to fraction form
    157,004/340,072 = 340,072/x
  3. Step 3: Cross multiply
    157,004x = 340,072 × 340,072
  4. Step 4: Simplify right side
    157,004x = 115,648,965,184
  5. Step 5: Solve for x
    x = 115,648,965,184/157,004
  6. Step 6: Final answer
    x = 736,598.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.