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Finding the Third Proportional to 147,466 and 322,528

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Solution

The third proportional to 147,466 and 322,528 is: 705,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,466 : 322,528 = 322,528 : x
  2. Step 2: Convert to fraction form
    147,466/322,528 = 322,528/x
  3. Step 3: Cross multiply
    147,466x = 322,528 × 322,528
  4. Step 4: Simplify right side
    147,466x = 104,024,310,784
  5. Step 5: Solve for x
    x = 104,024,310,784/147,466
  6. Step 6: Final answer
    x = 705,412.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.