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Finding the Third Proportional to 245,670 and 368,433

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Solution

The third proportional to 245,670 and 368,433 is: 552,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,670 : 368,433 = 368,433 : x
  2. Step 2: Convert to fraction form
    245,670/368,433 = 368,433/x
  3. Step 3: Cross multiply
    245,670x = 368,433 × 368,433
  4. Step 4: Simplify right side
    245,670x = 135,742,875,489
  5. Step 5: Solve for x
    x = 135,742,875,489/245,670
  6. Step 6: Final answer
    x = 552,541.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.