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Finding the Third Proportional to 147,410 and 221,547

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Solution

The third proportional to 147,410 and 221,547 is: 332,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,410 : 221,547 = 221,547 : x
  2. Step 2: Convert to fraction form
    147,410/221,547 = 221,547/x
  3. Step 3: Cross multiply
    147,410x = 221,547 × 221,547
  4. Step 4: Simplify right side
    147,410x = 49,083,073,209
  5. Step 5: Solve for x
    x = 49,083,073,209/147,410
  6. Step 6: Final answer
    x = 332,969.77

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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.