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Finding the Third Proportional to 116,232 and 255,792

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Solution

The third proportional to 116,232 and 255,792 is: 562,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,232 : 255,792 = 255,792 : x
  2. Step 2: Convert to fraction form
    116,232/255,792 = 255,792/x
  3. Step 3: Cross multiply
    116,232x = 255,792 × 255,792
  4. Step 4: Simplify right side
    116,232x = 65,429,547,264
  5. Step 5: Solve for x
    x = 65,429,547,264/116,232
  6. Step 6: Final answer
    x = 562,921.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.