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Finding the Third Proportional to 235,048.50 and 358,084.13

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Solution

The third proportional to 235,048.50 and 358,084.13 is: 545,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,048.50 : 358,084.13 = 358,084.13 : x
  2. Step 2: Convert to fraction form
    235,048.50/358,084.13 = 358,084.13/x
  3. Step 3: Cross multiply
    235,048.50x = 358,084.13 × 358,084.13
  4. Step 4: Simplify right side
    235,048.50x = 128,224,240,577.02
  5. Step 5: Solve for x
    x = 128,224,240,577.02/235,048.50
  6. Step 6: Final answer
    x = 545,522.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.