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Finding the Third Proportional to 147,465 and 322,527

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Solution

The third proportional to 147,465 and 322,527 is: 705,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,465 : 322,527 = 322,527 : x
  2. Step 2: Convert to fraction form
    147,465/322,527 = 322,527/x
  3. Step 3: Cross multiply
    147,465x = 322,527 × 322,527
  4. Step 4: Simplify right side
    147,465x = 104,023,665,729
  5. Step 5: Solve for x
    x = 104,023,665,729/147,465
  6. Step 6: Final answer
    x = 705,412.58

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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.