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Finding the Third Proportional to 154,428 and 232,013

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Solution

The third proportional to 154,428 and 232,013 is: 348,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,428 : 232,013 = 232,013 : x
  2. Step 2: Convert to fraction form
    154,428/232,013 = 232,013/x
  3. Step 3: Cross multiply
    154,428x = 232,013 × 232,013
  4. Step 4: Simplify right side
    154,428x = 53,830,032,169
  5. Step 5: Solve for x
    x = 53,830,032,169/154,428
  6. Step 6: Final answer
    x = 348,576.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.