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Finding the Third Proportional to 147,541.50 and 223,068.94

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Solution

The third proportional to 147,541.50 and 223,068.94 is: 337,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,541.50 : 223,068.94 = 223,068.94 : x
  2. Step 2: Convert to fraction form
    147,541.50/223,068.94 = 223,068.94/x
  3. Step 3: Cross multiply
    147,541.50x = 223,068.94 × 223,068.94
  4. Step 4: Simplify right side
    147,541.50x = 49,759,750,877.38
  5. Step 5: Solve for x
    x = 49,759,750,877.38/147,541.50
  6. Step 6: Final answer
    x = 337,259.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.