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Finding the Third Proportional to 147,470 and 322,537

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Solution

The third proportional to 147,470 and 322,537 is: 705,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,470 : 322,537 = 322,537 : x
  2. Step 2: Convert to fraction form
    147,470/322,537 = 322,537/x
  3. Step 3: Cross multiply
    147,470x = 322,537 × 322,537
  4. Step 4: Simplify right side
    147,470x = 104,030,116,369
  5. Step 5: Solve for x
    x = 104,030,116,369/147,470
  6. Step 6: Final answer
    x = 705,432.40

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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.