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Finding the Third Proportional to 116,547 and 257,592

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Solution

The third proportional to 116,547 and 257,592 is: 569,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,547 : 257,592 = 257,592 : x
  2. Step 2: Convert to fraction form
    116,547/257,592 = 257,592/x
  3. Step 3: Cross multiply
    116,547x = 257,592 × 257,592
  4. Step 4: Simplify right side
    116,547x = 66,353,638,464
  5. Step 5: Solve for x
    x = 66,353,638,464/116,547
  6. Step 6: Final answer
    x = 569,329.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.