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Finding the Third Proportional to 156,748 and 342,898

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Solution

The third proportional to 156,748 and 342,898 is: 750,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,748 : 342,898 = 342,898 : x
  2. Step 2: Convert to fraction form
    156,748/342,898 = 342,898/x
  3. Step 3: Cross multiply
    156,748x = 342,898 × 342,898
  4. Step 4: Simplify right side
    156,748x = 117,579,038,404
  5. Step 5: Solve for x
    x = 117,579,038,404/156,748
  6. Step 6: Final answer
    x = 750,115.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.