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Finding the Third Proportional to 114,345 and 303,510.38

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Solution

The third proportional to 114,345 and 303,510.38 is: 805,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,345 : 303,510.38 = 303,510.38 : x
  2. Step 2: Convert to fraction form
    114,345/303,510.38 = 303,510.38/x
  3. Step 3: Cross multiply
    114,345x = 303,510.38 × 303,510.38
  4. Step 4: Simplify right side
    114,345x = 92,118,547,732.64
  5. Step 5: Solve for x
    x = 92,118,547,732.64/114,345
  6. Step 6: Final answer
    x = 805,619.38

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.