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Finding the Third Proportional to 147,582 and 207,090

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Solution

The third proportional to 147,582 and 207,090 is: 290,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,582 : 207,090 = 207,090 : x
  2. Step 2: Convert to fraction form
    147,582/207,090 = 207,090/x
  3. Step 3: Cross multiply
    147,582x = 207,090 × 207,090
  4. Step 4: Simplify right side
    147,582x = 42,886,268,100
  5. Step 5: Solve for x
    x = 42,886,268,100/147,582
  6. Step 6: Final answer
    x = 290,592.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.