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Finding the Third Proportional to 224,237.71 and 346,271.35

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Solution

The third proportional to 224,237.71 and 346,271.35 is: 534,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,237.71 : 346,271.35 = 346,271.35 : x
  2. Step 2: Convert to fraction form
    224,237.71/346,271.35 = 346,271.35/x
  3. Step 3: Cross multiply
    224,237.71x = 346,271.35 × 346,271.35
  4. Step 4: Simplify right side
    224,237.71x = 119,903,848,828.38
  5. Step 5: Solve for x
    x = 119,903,848,828.38/224,237.71
  6. Step 6: Final answer
    x = 534,717.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.