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Finding the Third Proportional to 145,688 and 296,722

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Solution

The third proportional to 145,688 and 296,722 is: 604,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,688 : 296,722 = 296,722 : x
  2. Step 2: Convert to fraction form
    145,688/296,722 = 296,722/x
  3. Step 3: Cross multiply
    145,688x = 296,722 × 296,722
  4. Step 4: Simplify right side
    145,688x = 88,043,945,284
  5. Step 5: Solve for x
    x = 88,043,945,284/145,688
  6. Step 6: Final answer
    x = 604,332.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.