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Finding the Third Proportional to 224,547.19 and 307,660.78

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Solution

The third proportional to 224,547.19 and 307,660.78 is: 421,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,547.19 : 307,660.78 = 307,660.78 : x
  2. Step 2: Convert to fraction form
    224,547.19/307,660.78 = 307,660.78/x
  3. Step 3: Cross multiply
    224,547.19x = 307,660.78 × 307,660.78
  4. Step 4: Simplify right side
    224,547.19x = 94,655,156,319.36
  5. Step 5: Solve for x
    x = 94,655,156,319.36/224,547.19
  6. Step 6: Final answer
    x = 421,537.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.