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Finding the Third Proportional to 144,818 and 315,381.38

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Solution

The third proportional to 144,818 and 315,381.38 is: 686,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,818 : 315,381.38 = 315,381.38 : x
  2. Step 2: Convert to fraction form
    144,818/315,381.38 = 315,381.38/x
  3. Step 3: Cross multiply
    144,818x = 315,381.38 × 315,381.38
  4. Step 4: Simplify right side
    144,818x = 99,465,411,696.89
  5. Step 5: Solve for x
    x = 99,465,411,696.89/144,818
  6. Step 6: Final answer
    x = 686,830.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.