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Finding the Third Proportional to 219,688 and 353,724

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Solution

The third proportional to 219,688 and 353,724 is: 569,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,688 : 353,724 = 353,724 : x
  2. Step 2: Convert to fraction form
    219,688/353,724 = 353,724/x
  3. Step 3: Cross multiply
    219,688x = 353,724 × 353,724
  4. Step 4: Simplify right side
    219,688x = 125,120,668,176
  5. Step 5: Solve for x
    x = 125,120,668,176/219,688
  6. Step 6: Final answer
    x = 569,538.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.