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Finding the Third Proportional to 147,528 and 221,964

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Solution

The third proportional to 147,528 and 221,964 is: 333,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,528 : 221,964 = 221,964 : x
  2. Step 2: Convert to fraction form
    147,528/221,964 = 221,964/x
  3. Step 3: Cross multiply
    147,528x = 221,964 × 221,964
  4. Step 4: Simplify right side
    147,528x = 49,268,017,296
  5. Step 5: Solve for x
    x = 49,268,017,296/147,528
  6. Step 6: Final answer
    x = 333,957.06

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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.