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Finding the Third Proportional to 134,547.75 and 283,036.50

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Solution

The third proportional to 134,547.75 and 283,036.50 is: 595,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,547.75 : 283,036.50 = 283,036.50 : x
  2. Step 2: Convert to fraction form
    134,547.75/283,036.50 = 283,036.50/x
  3. Step 3: Cross multiply
    134,547.75x = 283,036.50 × 283,036.50
  4. Step 4: Simplify right side
    134,547.75x = 80,109,660,332.25
  5. Step 5: Solve for x
    x = 80,109,660,332.25/134,547.75
  6. Step 6: Final answer
    x = 595,399.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.