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Finding the Third Proportional to 153,410 and 358,597

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Solution

The third proportional to 153,410 and 358,597 is: 838,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,410 : 358,597 = 358,597 : x
  2. Step 2: Convert to fraction form
    153,410/358,597 = 358,597/x
  3. Step 3: Cross multiply
    153,410x = 358,597 × 358,597
  4. Step 4: Simplify right side
    153,410x = 128,591,808,409
  5. Step 5: Solve for x
    x = 128,591,808,409/153,410
  6. Step 6: Final answer
    x = 838,223.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.