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Finding the Third Proportional to 115,688 and 253,516

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Solution

The third proportional to 115,688 and 253,516 is: 555,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,688 : 253,516 = 253,516 : x
  2. Step 2: Convert to fraction form
    115,688/253,516 = 253,516/x
  3. Step 3: Cross multiply
    115,688x = 253,516 × 253,516
  4. Step 4: Simplify right side
    115,688x = 64,270,362,256
  5. Step 5: Solve for x
    x = 64,270,362,256/115,688
  6. Step 6: Final answer
    x = 555,549.08

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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.