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Finding the Third Proportional to 159,819.75 and 344,547

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Solution

The third proportional to 159,819.75 and 344,547 is: 742,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,819.75 : 344,547 = 344,547 : x
  2. Step 2: Convert to fraction form
    159,819.75/344,547 = 344,547/x
  3. Step 3: Cross multiply
    159,819.75x = 344,547 × 344,547
  4. Step 4: Simplify right side
    159,819.75x = 118,712,635,209
  5. Step 5: Solve for x
    x = 118,712,635,209/159,819.75
  6. Step 6: Final answer
    x = 742,790.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.