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Finding the Third Proportional to 155,547 and 317,653.50

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Solution

The third proportional to 155,547 and 317,653.50 is: 648,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,547 : 317,653.50 = 317,653.50 : x
  2. Step 2: Convert to fraction form
    155,547/317,653.50 = 317,653.50/x
  3. Step 3: Cross multiply
    155,547x = 317,653.50 × 317,653.50
  4. Step 4: Simplify right side
    155,547x = 100,903,746,062.25
  5. Step 5: Solve for x
    x = 100,903,746,062.25/155,547
  6. Step 6: Final answer
    x = 648,702.62

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.