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Finding the Third Proportional to 308,475 and 460,167.75

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Solution

The third proportional to 308,475 and 460,167.75 is: 686,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,475 : 460,167.75 = 460,167.75 : x
  2. Step 2: Convert to fraction form
    308,475/460,167.75 = 460,167.75/x
  3. Step 3: Cross multiply
    308,475x = 460,167.75 × 460,167.75
  4. Step 4: Simplify right side
    308,475x = 211,754,358,140.06
  5. Step 5: Solve for x
    x = 211,754,358,140.06/308,475
  6. Step 6: Final answer
    x = 686,455.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.