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Finding the Third Proportional to 153,605.25 and 317,866.50

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Solution

The third proportional to 153,605.25 and 317,866.50 is: 657,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,605.25 : 317,866.50 = 317,866.50 : x
  2. Step 2: Convert to fraction form
    153,605.25/317,866.50 = 317,866.50/x
  3. Step 3: Cross multiply
    153,605.25x = 317,866.50 × 317,866.50
  4. Step 4: Simplify right side
    153,605.25x = 101,039,111,822.25
  5. Step 5: Solve for x
    x = 101,039,111,822.25/153,605.25
  6. Step 6: Final answer
    x = 657,784.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.